Volume 2
An electric charge +q moves the velocity V = 3 i ^ + 4j ^+ k ^ , in an electromagnetic field given by: E = 3i ^ + j ^ + 2 k ^ and B = i ^+ j ^ − 3k ^. The y−component of the force experienced by q is :
05
Dec
An electric charge +q moves the velocity V = 3 i ^ + 4j ^+ k ^ , in an electromagnetic field given by: E = 3i ^ + j ^ + 2 k ^ and B = i ^+ j ^ − 3k ^. The y−component of the force experienced by q is : [...]
Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C−R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 second. For series combination the time needed for reducing the voltage of the fully charged series combination by half is-
05
Dec
Combination of two identical capacitors, a resistor R and a dc voltage source of voltage 6V is used in an experiment on a (C−R) circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10 [...]
Statement-1: When a charge q is take from the centre of the surface of the sphere its potential energy changes by qρ/3ε0. Statement-2: The electric field at a distance r(r
05
Dec
Statement-1: When a charge q is take from the centre of the surface of the sphere its potential energy changes by qρ/3ε0. Statement-2: The electric field at a distance r(r Statement-1: When a charge q is take from the centre of the surface of the sphere its potential energy changes by qρ/3ε0. Statement-2: The electric [...]
In a uniformly charged sphere of total charge Q and radius R the electric field E is plotted as a function of distance from the centre. The graph which would correspond to the above will be:
05
Dec
In a uniformly charged sphere of total charge Q and radius R the electric field E is plotted as a function of distance from the centre. The graph which would correspond to the above will be: In a uniformly charged sphere of total charge Q and radius R the electric field E is plotted as [...]
Two charges, each equal to q, are kept at x=−a and x=a on the x-axis. A particle of mass m and charge q0=q/2 is placed at the origin. If charge q0 is given a small displacement (y is much less then a) along the y-axis, the net force acting on the particle is proportional to
05
Dec
Two charges, each equal to q, are kept at x=−a and x=a on the x-axis. A particle of mass m and charge q0=q/2 is placed at the origin. If charge q0 is given a small displacement (y is much less then a) along the y-axis, the net force acting on the particle is proportional to [...]
A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at distance L from the end A is
05
Dec
A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at distance L from the end A is A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The [...]
Two capacitors C1 and C2 are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then,
05
Dec
Two capacitors C1 and C2 are charged to 120 V and 200 V respectively. It is found that by connecting them together the potential on each one can be made zero. Then, Two capacitors C1 and C2 are charged to 120 V and 200 V respectively. It is found that by connecting them together the [...]
A parallel plate capacitor is made of two circular plates separated by a distance 5mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3×10^4V/m the charge density of the positive plate will be close to:
05
Dec
A parallel plate capacitor is made of two circular plates separated by a distance 5mm and with a dielectric of dielectric constant 2.2 between them. When the electric field in the dielectric is 3×10^4V/m the charge density of the positive plate will be close to: The given graph shows variation (with distance r from center) [...]
Assume that an electric field E→=30x^2jˆ exists in space. Then the potential difference VA−VO, where VO is the potential at the origin and VA the potential at x=2m is:
05
Dec
Assume that an electric field E→=30x^2jˆ exists in space. Then the potential difference VA−VO, where VO is the potential at the origin and VA the potential at x=2m is: Assume that an electric field E→=30x^2jˆ exists in space. Then the potential difference VA−VO where VO is the potential at the origin and VA the potential [...]
A long cylindrical shell carries positive surface charge σ in the upper half and negative surface charge −σ in the lower half. The electric field lines around the cylinder will look like figure given in:(figures are schematic and not drawn to scale)
05
Dec
A long cylindrical shell carries positive surface charge σ in the upper half and negative surface charge −σ in the lower half. The electric field lines around the cylinder will look like figure given in:(figures are schematic and not drawn to scale) The given graph shows variation (with distance r from center) of : December [...]