Q- Two capacitors C_{1} = 30 µF and C_{2} = 60 µF are connected in series with a 12 V battery. Find

(a) The charge on C_{1} and

(b) The potential difference across C_{2}.

Q- Three charges are placed at the vertices of an equilateral triangle of side *a* = 6 cm. *q _{A}* = +3 µC,

(a) Find the x- and y- components of the electric force acting on *q _{C}*.

(b) Find the electric field at the position of *q _{C}* due to

Q- Two charges *Q _{c}* and -

Q- A rigid, insulating fiber if fixed vertically. A charge *Q _{a}* = -7 µC is fixed to the fiber at some point. A bead with a hole drilled through its center is slipped over the fiber above Q

Q- A hollow cylinder of radius a and length L, open at its ends, carries a uniform surface charge density σ. Use the formula for electric field due to a thin uniformly charged ring; find the expression for the electric field at a point P on the axis of the cylinder at a distance b from its nearest …

Q- The potential at a point on the axis of a uniformly charged circular disk is given by

Where s is the surface charge density, r is the distance of the point from the center of the disk and ‘a’ is the radius of the disk. Find an expression for the electric field as a function…

Q- Consider the rectangle below BCDE of length 24cm. and width 18cm. Position A is at the center of the rectangle. Point charges q_{1} = (+) 0.2 µC, q_{2} = (+) 0.8 µC and q_{3} = (-) 0.6 µC are placed at the corners B, C and D of the rectangle as shown. Find the magnitude and direction of the electric fie…

Q- A commercial capacitor is to be constructed as shown in Figure. This particular capacitor is made from two strips of aluminum foil separated by a strip of paraffin-coated paper. Each strip of foil and paper is 7.90 cm wide. The foil is 0.00400 mm thick, and the paper is 0.0250 mm thick and has a …

Q- Given two *2.00-**m**C *charges, as shown in Figure and a positive test charge *q *= 1.28*10^{-18} C at the origin,

(a) What is the net force exerted by the two *2.00-**m**C *charges on the test charge *q? *

(b) What is the electric field at the origin due to the two *2.00**m**C *charges?

(c) What is the electri…

Q- Two charges are fixed in place with a separation d. One charge is positive and has seven times (n = 7) the magnitude of the other charge, which is negative. The positive charge lies to the left of the negative charge. Relative to the negative charge, locate the two spots on the line through the c…

Q- Two tiny identical metal balls each of mass 10g and carrying equal positive charges are suspended from a point by “weightless” insulated strings each of 1m length. The balls repel each other and come to an equilibrium position with each string making an angle of 37^{0} to the vertical.

(a) Draw …

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IriamAbhigyan Martin Ninama