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A parallel-plate capacitor, filled with a dielectric (K = 3.4), is connected to a 100 V battery. After the capacitor is fully charged, the battery is disconnected. The plates have an area of 4.0 m 2 and are separated by 4.0 mm. (a) Find the capacitance, the charge on the capacitor, the electric field strength, and the energy stored in the capacitor. (b) The dielectric is carefully removed, without changing the plate separation. Also, no charges leave the capacitor. Find the new values of capacitance, electric field strength, the voltage between the plates, and the energy stored in the capacitor.
01
Sep
A parallel-plate capacitor, filled with a dielectric (K = 3.4), is connected to a 100 V battery. After the capacitor is fully charged, the battery is disconnected. The plates have an area of 4.0 m 2 and are separated by 4.0 mm. (a) Find the capacitance, the charge on the capacitor, the electric field strength, [...]
A cube of coefficient of linear expansion alpha s is floating in a bath containing a liquid of coefficeient of volume expansion γl. When the temperature is raised by ΔT, the depth upto which the cube is submerged in the liquid remains the same.
01
Sep
A cube of coefficient of linear expansion alpha s is floating in a bath containing a liquid of coefficeient of volume expansion γl. When the temperature is raised by ΔT, the depth upto which the cube is submerged in the liquid remains the same. A cube of coefficient of linear expansion alpha s is floating [...]
Two steel rods and an aluminium rod of equal length l0 and equal cross- section are joined rigidly at their ends as shown in the figure below. All the rods are in a state of zero tension at 0∘C . Find the length of the system when the temperature is raised to θ. Coefficient of linear expansion of aluminium and steel are αa and αs respectively. Young’s modulus of aluminium is Ya and of steel is Ys.
01
Sep
Two steel rods and an aluminium rod of equal length l0 and equal cross- section are joined rigidly at their ends as shown in the figure below. All the rods are in a state of zero tension at 0∘C . Find the length of the system when the temperature is raised to θ. Coefficient of [...]
A parallel plate capacitor contanins a mica sheet (thickness 0.5+×10−3 m) . And a sheet of fiber (thickness 0.5×10−3m) . The dielectric constant of mica is 8 and that of thye fiber is 2.5 Assuming that the fiber breaks down when subjected to an electric field of 6.4 × 106V m^−1. , find the maximum safe voltage that can be applied to the capacitor.
01
Sep
A parallel plate capacitor contanins a mica sheet (thickness 0.5+×10−3 m) . And a sheet of fiber (thickness 0.5×10−3m) . The dielectric constant of mica is 8 and that of thye fiber is 2.5 Assuming that the fiber breaks down when subjected to an electric field of 6.4 × 106V m^−1. , find the maximum [...]
A beaker contains 1 l of water at room temperature (i.e., 30C). A piece of ice weighing 400g at -10C is dropped gently into the beaker. Find the final temperature and contents of the mixture.
01
Sep
A beaker contains 1 l of water at room temperature (i.e., 30C). A piece of ice weighing 400g at -10C is dropped gently into the beaker. Find the final temperature and contents of the mixture. 30C). A piece of ice weighing 400g at -10C is dropped gently into the beaker. Find the final temperature and [...]
You have been given a parallel plate air capacitor having capacitance C, a battery of emf ε and three dielectric blocks having dielectric constants K1,K2andK3 such that K1>K2>K3. Describe a sequence of steps such as connecting or disconnecting the capacitor to the battery, inserting or taking out of one of the dielectrics etc -so that the capacitor ends up having maximum possible energy stored in it. [Each dielectric block fills completely the space between the plates]. Write this maximum energy.
01
Sep
You have been given a parallel plate air capacitor having capacitance C, a battery of emf ε and three dielectric blocks having dielectric constants K1,K2andK3 such that K1>K2>K3. Describe a sequence of steps such as connecting or disconnecting the capacitor to the battery, inserting or taking out of one of the dielectrics etc -so that [...]
The electric field between the plates of a parallel plate capacitor is E0. The space between the plates is filled completely with a dielectric. There are n molecules in unit volume of the dielectric and each molecules is like a dumb – bell of length L with its ends carrying charge +qand−q. Assume that all molecular dipoles get aligned along the field between the plates. Find the electric field between the plates after insertion of the dielectric.
01
Sep
The electric field between the plates of a parallel plate capacitor is E0. The space between the plates is filled completely with a dielectric. There are n molecules in unit volume of the dielectric and each molecules is like a dumb – bell of length L with its ends carrying charge +qand−q. Assume that all [...]
A positive charge particle having charge q and mass m is projected into a region having perpendicular uniform magnetic field B. The particle enter into a magnetic field region with speed v0 normal to the boundary of magnetic field region as shown in the figure.
01
Sep
A positive charge particle having charge q and mass m is projected into a region having perpendicular uniform magnetic field B. The particle enter into a magnetic field region with speed v0 normal to the boundary of magnetic field region as shown in the figure. A magnetic field has a magnitude of 1.5 * 10^-3 [...]
An iron cube of edge 40cm floats on a mercury, at a temperature of 0C. what is the depth of its immersion into the mercury at 0C. When temperature is increased to 100C, how much further will the block sink?
01
Sep
An iron cube of edge 40cm floats on a mercury, at a temperature of 0C. what is the depth of its immersion into the mercury at 0C. When temperature is increased to 100C, how much further will the block sink? An iron cube of edge 40cm floats on a mercury at a temperature of 0C. [...]
If A is connerted with D and B is connected with C find the potential difference a across each capacitor and the final charge in each capacitor.
01
Sep
If A is connerted with D and B is connected with C find the potential difference a across each capacitor and the final charge in each capacitor. If A is connerted with D and B is connected with C find the potential difference a across each capacitor and the final charge in each capacitor. September [...]