of radius a
Two long parallel horizontal rails a, a distance d aprt and each having a risistance λ per unit length are joing at one end by a resistance R. A perfectly conduction rod MN of mass m is free to slide along the rails without friction (see figure). There is a uniform magnetic field of induction B normal to the plane of the paper and directed into the paper. A variable force F is applied to the rod MN such that, as the rod moves a constant current flows through R. (i) Find the velocity of the rod and the applied force F as function of the distance x of the rod from R. (ii) What fraction of the work done per second by F is converted into heat?
07
Sep
Two long parallel horizontal rails a, a distance d aprt and each having a risistance λ per unit length are joing at one end by a resistance R. A perfectly conduction rod MN of mass m is free to slide along the rails without friction (see figure). There is a uniform magnetic field of induction [...]
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A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R ,
A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2 ,
number of turns 100 ,
of radius a ,
pointing up. Now the magnetic field is switched off ,
so that it is free to rotate. In the central region ,
there is a uniform magnetic field B0 ,
Two long parallel horizontal rails a ,
which causes the disc to rotate. Find the angular speed with which the disc starts rotating. ,
which is then suspended horizontally as shown in Fig. 3.90 ,
Two infinite long straight parallel wires M and N each carry equal currents but in opposite directions are seperated by r0 = 5 m . A square loop L of side a = r0 = 5 m lies in the plane of M and N at a distance of d = r0 = 5 m from the nearest wire. calculate the EMF induced in ther loop L if the currents in M and N are increasing at the rate of 10 ^3 A/s. Also indicate the direction of current in the loop.
07
Sep
Two infinite long straight parallel wires M and N each carry equal currents but in opposite directions are seperated by r0 = 5 m . A square loop L of side a = r0 = 5 m lies in the plane of M and N at a distance of d = r0 = 5 m [...]
Tags:
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R ,
A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2 ,
number of turns 100 ,
of radius a ,
pointing up. Now the magnetic field is switched off ,
so that it is free to rotate. In the central region ,
there is a uniform magnetic field B0 ,
which causes the disc to rotate. Find the angular speed with which the disc starts rotating. ,
which is then suspended horizontally as shown in Fig. 3.90 ,
in fig. The four rods have λ resistance per unit length. The arrengement is kept in a magnetic field of constant magnitude B and directed perpendicular to the plane of the figure and directing in ward. Initially, the sides as shown form a square. Now each wire starts moving with constant velocity v toward the opposite wire. Find as a function of time: (a) induced emf in the circuit. (b) induced current in the circuit with direction. ( c ) force required on each wire to keep its velocity consatnt. (d) total power required to maintain constant velocity. (e) thermal power developed in the circuit.
07
Sep
in fig. The four rods have λ resistance per unit length. The arrengement is kept in a magnetic field of constant magnitude B and directed perpendicular to the plane of the figure and directing in ward. Initially, the sides as shown form a square. Now each wire starts moving with constant velocity v toward the [...]
Tags:
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R ,
A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2 ,
number of turns 100 ,
of radius a ,
pointing up. Now the magnetic field is switched off ,
so that it is free to rotate. In the central region ,
there is a uniform magnetic field B0 ,
which causes the disc to rotate. Find the angular speed with which the disc starts rotating. ,
which is then suspended horizontally as shown in Fig. 3.90 ,
A pair of parallel horizontal conducting rails of negligible resistance shorted at one end is fixed on a table. The distance between the rails is L. A conducting massless rod of resistance R can slide on the rails frictionlessly. The rod is tied to a massless string which passes over a pulley fixed to the edge of the table. A mass m tied to the other end of the string hangs vertically. A constant magnetic field B exists perpendicular to the table. If the system is released from rest, calculate a. the terminal velocity achieved by the rod and b. The acceleration of the mass of the instant when the velocity of the rod is half the terminal velocity.
07
Sep
A pair of parallel horizontal conducting rails of negligible resistance shorted at one end is fixed on a table. The distance between the rails is L. A conducting massless rod of resistance R can slide on the rails frictionlessly. The rod is tied to a massless string which passes over a pulley fixed to the [...]
Tags:
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R ,
A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2 ,
number of turns 100 ,
of radius a ,
pointing up. Now the magnetic field is switched off ,
so that it is free to rotate. In the central region ,
there is a uniform magnetic field B0 ,
which causes the disc to rotate. Find the angular speed with which the disc starts rotating. ,
which is then suspended horizontally as shown in Fig. 3.90 ,
Two parallel vertical metallic rails AB and CD are separated by 1 m. They are connected at the two ends by resistances R1 and R2 as shown in the figure. A horizontal metallic bar l of mass 0.2kg slides without friction, vertically down the rails under the action of gravity. There is a uniform horizontal magnetic field of 0.6T perpendicular to the plane of the rails. It is observed that when the terminal velocity is attained, the powers dissipated in R1 and R2 are 0.76 W and 1.2 W respectively (g = 9.8 m/s^2)
07
Sep
Two parallel vertical metallic rails AB and CD are separated by 1 m. They are connected at the two ends by resistances R1 and R2 as shown in the figure. A horizontal metallic bar l of mass 0.2kg slides without friction, vertically down the rails under the action of gravity. There is a uniform horizontal [...]
Tags:
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R ,
A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2 ,
number of turns 100 ,
of radius a ,
pointing up. Now the magnetic field is switched off ,
so that it is free to rotate. In the central region ,
there is a uniform magnetic field B0 ,
which causes the disc to rotate. Find the angular speed with which the disc starts rotating. ,
which is then suspended horizontally as shown in Fig. 3.90 ,
A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2, number of turns 100, mass 0.06 kg and resistance 1.6 Ω is lying horizontally at the bottom of the vessel. A uniform time-varying magnetic field is set up to pass vertically through the coil at time t=0. The field is first increased from zero to 0.8T at a constant rate between 0 and 0.2s and then decreased to zero at the same rate between 0.2and0.4s. the cycle is repeated 12000 times. Make sketches of the current through the coil and the power dissipated in the coil as function of time for the first two cycles. Clearly indicate the magnitude of the quantities on the axes. Assumes that no heat is lost to the vessel or the surroundings. Determine the final temperature of water under thermal equilibrium. Specific heat of metal =500 j kg^−1 K^−1 and the specific heat of water =4200 j kg^−1 K^−1. Neglect the inductance of coil.
07
Sep
A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2, number of turns 100, mass 0.06 kg and resistance 1.6 Ω is lying horizontally at the bottom of the vessel. A uniform time-varying magnetic field is set up to pass vertically through the coil at time [...]
Tags:
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R ,
A thermocol vessel contains 0.5 kg of distilled water at 30∘ C. A metal coil of area 5×10^−3 m^2 ,
number of turns 100 ,
of radius a ,
pointing up. Now the magnetic field is switched off ,
so that it is free to rotate. In the central region ,
there is a uniform magnetic field B0 ,
which causes the disc to rotate. Find the angular speed with which the disc starts rotating. ,
which is then suspended horizontally as shown in Fig. 3.90 ,
A square loop of side ‘a’ with a capacitor of capacitance C is located between two current carrying long parallel wires as shown. The value of I in the wires in given as I = (I0)sinωt. (a) Calculate maximum current in the square loop. (b) Draw a graph between charges on the upper plates of the capacitor vs time.
07
Sep
A square loop of side ‘a’ with a capacitor of capacitance C is located between two current carrying long parallel wires as shown. The value of I in the wires in given as I = (I0)sinωt. (a) Calculate maximum current in the square loop. (b) Draw a graph between charges on the upper plates of [...]
Tags:
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R ,
of radius a ,
pointing up. Now the magnetic field is switched off ,
so that it is free to rotate. In the central region ,
there is a uniform magnetic field B0 ,
which causes the disc to rotate. Find the angular speed with which the disc starts rotating. ,
which is then suspended horizontally as shown in Fig. 3.90 ,
A cylindrical region of radius R is filled with a uniform magnetic field B as shown in the figure. A metal wire (AB) of length L is placed inside the field such that its ends are symmetrically located with respect to the centre (O) of the circular cross section of the region. If the magnetic field is changed at a rate dBdt the emf induced in the metal wire is e. Find change in value of ε if the wire is displaced by a small distance ΔL parallel to its own length.
07
Sep
A cylindrical region of radius R is filled with a uniform magnetic field B as shown in the figure. A metal wire (AB) of length L is placed inside the field such that its ends are symmetrically located with respect to the centre (O) of the circular cross section of the region. If the magnetic [...]
Tags:
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R ,
of radius a ,
pointing up. Now the magnetic field is switched off ,
so that it is free to rotate. In the central region ,
there is a uniform magnetic field B0 ,
which causes the disc to rotate. Find the angular speed with which the disc starts rotating. ,
which is then suspended horizontally as shown in Fig. 3.90 ,
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R, which is then suspended horizontally as shown in Fig. 3.90, so that it is free to rotate. In the central region, of radius a, there is a uniform magnetic field B0, pointing up. Now the magnetic field is switched off, which causes the disc to rotate. Find the angular speed with which the disc starts rotating.
07
Sep
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R, which is then suspended horizontally as shown in Fig. 3.90, so that it is free to rotate. In the central region, of radius a, there is a uniform magnetic field B0, pointing up. Now the [...]
Tags:
A line charge with linear charge density λ is wound around an insulating disc of mass M and radius R ,
of radius a ,
pointing up. Now the magnetic field is switched off ,
so that it is free to rotate. In the central region ,
there is a uniform magnetic field B0 ,
which causes the disc to rotate. Find the angular speed with which the disc starts rotating. ,
which is then suspended horizontally as shown in Fig. 3.90 ,