Electricity and Magnetism Answers

Consider three identical ideal capacitors. The first capacitor is charged to a voltage V0 and then disconnected from the battery. The other two capacitors, initially uncharged and connected in series, are then connected across the first capacitor. What is the final voltage on the first capacitor?

A parallel plate air capacitor is made by using two plates 16cm square, spaced 4.7mm apart. It isconnected to a 12.0V battery. (a) What is the capacitance? (b) What is the charge on each plate? (c)What is the electric field between the plates? (d) What is the energy stored in the capacitor? (e) If the battery is disconnected and then the plates are pulled apart to a separation of 9.4mm, what arethe answers to (a), (b),(c) and (d)?

A parallel plate capacitor has the space between the plates with two slabs of dielectric, one with dielectric constant κ1 and one with constant κ2. The thickness of each slab is the same as the plate separation d, and each slab fills half of the volume between the plates. Show that the capacitance is C = 0A(κ1 + κ2) 2d

A parallel plate capacitor has the space between the plates filled with two slabs of dielectric, one with constant κ1 and one with constant κ2. Each slab has thickness d/2, where d is the plate separation. Show that the capacitance is C = 20A d  κ1κ2 κ1 + κ2 

2. A particle of charge Q1 = 2μc is placed at the origin, an identical particle of charge Q2, is placed 2m from the origin on the +x-axis, and a third identical particle of charge Q3, is placed 2m from the origin on the +y-axis. 

Calculate:  

i. The net electrostatic force on Q1 ii. The net electric field on Q2 iii. The net electric potential on Q3 

1. There are three identical metal spheres A, B, and C. Sphere A carries a charge of +5q, sphere B carries a charge of -q and Sphere C carries a net charge. A and B touched together and separated. Sphere C is then touched to Sphere A and separated from it. Finally, Sphere C is then touched to Sphere B and separated from it.  

i. What is the net charges on the three spheres after they have touched. 

ii. How many charges end up on sphere C. 

How are the angles of refracted of light affected when light passes from less dense to a denser medium?

Derive the equation of

 A)Q(t) for discharging process

B)V(t) for discharging process

C)I(t) for discharging process

D)show discharging graph

E)what happen for Q(t) for t=goes to +ve infinity for discharging process.

Suppose in an experiment, data is collected of the variation of current with

resistance R. Next a plot of R vs I

-1 is made. How does one determine the

value of V from that graph? (Explain your answer using an appropriate

expression.)