Three identical parallel plate capacitor (air) C1, C2, C3 have capacitance C each. The space between their plates is now filled with dielectrics as shown. If all three capacitors still have equal capacitance,
Obtain the relation between dielectric constants, k, k1, k2, k3 and k4.
What is the amount of work done in moving a charge Q around a circular arc of radius r at the centre of which another point charge q is located?
A dipole with its charge -q and +q located at the points (0, -b, 0) and (0, +b, 0) is present in a uniform electric field E. The equipotential surfaces of this field are planes parallel to the YZ-plane.
What is the direction of the electric field E?
How much torque would the dipole experience in this field?
A parallel plate capacitor is an arrangement of two identical metal plates kept parallel, a small distance apart. The capacitance of a capacitor depends on the size and separation of the two plates and also on the dielectric constant of the medium between the plates. Like resistors, capacitors can also be arranged in series or parallel or a combination of both. By virtue of electric field between the plates, charged capacitors store energy.
A capacitor is charged to a potential (V) by connecting it to a battery. After some time, the battery is disconnected and a dielectric is introduced between the plates. How will the potential difference between the plates be affected?
How will the energy stored in the capacitor be affected? Justify your answer.
A capacitor of unknown capacitance is connected across a battery of V volt. A charge of 120 μC is stored in it. When the potential across the capacitor is reduced by 40 V, the charge stored in the capacitor becomes 40 μC.
Calculate V and the unknown capacitance.
What would be the charge in the capacitor if the voltage is increased by 40 V?
A network of four capacitors, each of capacitance 15μF, is connected across a battery of 100 V, as shown in the figure.
Find the net capacitance of the network.
Find the charge on the capacitor C4.
A test charge q is moved without acceleration from A to C along the path from A to B and then from B to C in electric field E as Fig.
Calculate the potential difference between A and C.
At which point (of the two) is the electric potential more and why?
A charge Q is uniformly distributed over the surface of a spherical shell of radius R. The work done in bringing a test charge Q0 from its centre to its surface is
A beam of electrons moving horizontally with a velocity of 3 107 m/s enters a region between two plates as shown in the figure. A suitable potential difference is applied across the plates such that the electron beam just strikes the edge of the lower plate.
Find the magnitude and direction of the magnetic field which should be created in the space between the plates so that the electron beam goes straight undeviated.