If the charge of one of the capacitors in the parallel bank (as illustrated belo

Question

If the charge of one of the capacitors in the parallel bank (as illustrated below) is 10C, what is the voltage italic capital delta V of the battery? Each capacitor in the circuit has capacitance 1F. a. 20V b. 17V c. 70V d. 40/7 V e. 4V A point charge of q=-1C lies 8m away from the surface of uniformly charged sphere of charge Q=2C and radius R=1m as illustrated below. How far to the right of charge q does the electric potential equal zero (along the line that connects the point charge to the center of the sphere)? a. 3m b. 9m c. 6m d. 17 m e. 8/3 m Suppose a point charge Q=1C and mass m=1kg is suspended above an electric dipole along the dipole axis as illustrated below. Using the formula for the dipole electric field strength (on axis, far away from the dipole): E = kqs / y3 . Determine the value of s, the dipole spacing, if y=2m and the charge of the dipole is q=10C. Use k=1x1010Nm2/C2 and g=10m/s2. (hint: treat this problem as an equilibrium of forces problem.) a. 1x10-10m b. 2m c. 3x10-10m d. 4x10-10m e. 8x10-10m

Explanation / Answer

1) Let x is the distance to the right of the charge q.

Then     (kq/x) + (kQ/(9+x)) = 0

             (-1/x) + (2/(9+x)) = 0 =========> x = 9 m (option b) is correct)

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