Question 1 The figure shows four pairs of charged particles. For each pair, let V = 0 at infinity and consider V net at points on the x axis. For which pairs is there a point at which V net = 0 between the particles? (1) (2) (3) (4) None For which pairs is there a point at which V net = 0 to the right of the particles? (1) (2) (3) (4) None At such a point is due to the particles equal to zero? No Yes
For each pair, are there off axis points (other than at infinity) where V net = 0? Mark the pairs where this is true. (1) (2) (3) (4) None of the pairs exhibit this quality. Question 2 The figure shows a rectangular array of charged particles fixed in place, with distance a = 41.8 cm and the charges shown as integer multiples of q 1 = 3.31 pc and q 2 = 6.59 pc. With V= 0 at infinity, what is the net electric potential at the rectangle's center? The number of s is set to 3; the tolerance is +/ 1 in the 3rd significant Question 3 How much work is required to set up the four charge configuration of the figure if q = 2.80 pc, a = 76.7 cm, and the particles are initially infinitely far apart and at rest?
The number of s is set to 3; the tolerance is +/ 1 in the 3rd significant Question 4 The figure shows plots of charge versus potential difference for three parallel plate capacitors that have the plate areas and separations given in the table. Which plot goes with which capacitor? capacitor 1 capacitor 2 capacitor 3 1. plot a 2. plot b 3. plot c Question 5 (a) In Figure (a), are capacitors 1 and 3 in series?
(a) In Figure (a), are capacitors 1 and 3 in series? yes no (b) In Figure (a) are capacitors 1 and 2 in parallel? yes no (c) Rank the equivalent capacitances of the four circuits shown in the figure, greatest first.
b = c > a = d a > b = c > d a = b = c = d b > c > d > a Question 6 The capacitor in the figure has a capacitance of 27 µf and is initially uncharged. The battery provides a potential difference of 160 V. After switch S is closed, how much charge will pass through it? The number of s is set to 2; the tolerance is +/ 1 in the 2nd significant Question 7 A parallel plate capacitor has circular plates of 7.35 cm radius and 1.24 mm separation. (a) Calculate the capacitance. (b) What charge will appear on the plates if a potential difference of 152 V is applied? (a)
(b) *2 the number of s is set to 3; the tolerance is +/ 1 in the 3rd *2 the number of s is set to 3; the tolerance is +/ 1 in the 3rd Question 8 In the figure find the equivalent capacitance of the combination. Assume that C 1 = 8.70 µf, C 2 = 6.23 µf, and C 3 = 3.89 µf. The number of s is set to 3; the tolerance is +/ 1 in the 3rd significant Question 9 In the figure a 27 V battery is connected across capacitors of capacitances C 1 = C 6 = 5.0 μf and C 3 = C 5 = 2.0C 2 = 2.0C 4 = 6.0 μf. What are (a) the equivalent capacitance C eq of the capacitors and (b) the charge stored by C eq? What are (c) V 1 and (d) q 1 of capacitor 1, (e) V 2 and (f) q 2 of capacitor 2, and (g) V 3 and (h) q 3 of capacitor 3? (a) (b) *2
(c) (d) (e) (f) (g) (h) *3 *4 *5 *6 *7 *8 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *2 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *3 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *4 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *5 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *6 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *7 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *8 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *9 the number of s is set to 2; the tolerance is +/ 1 in the 2nd 0 the number of s is set to 2; the tolerance is +/ 1 in the 2nd 1 the number of s is set to 2; the tolerance is +/ 1 in the 2nd 2 the number of s is set to 2; the tolerance is +/ 1 in the 2nd 3 the number of s is set to 2; the tolerance is +/ 1 in the 2nd 4 the number of s is set to 2; the tolerance is +/ 1 in the 2nd 5 the number of s is set to 2; the tolerance is +/ 1 in the 2nd 6 the number of s is set to 2; the tolerance is +/ 1 in the 2nd 7 the number of s is set to 2; the tolerance is +/ 1 in the 2nd Question 10 A 2.4 µf capacitor and a 5.8 µf capacitor are connected in parallel across a 390 V potential difference. Calculate the total energy in joules stored in the capacitors. The number of s is set to 2; the tolerance is +/ 1 in the 2nd significant
Question 11 In the figure a potential difference V = 87.0 V is applied across a capacitor arrangement with capacitances C 1 = 10.3 µf, C 2 = 4.83 µf, and C 3 = 3.90 µf. What are (a) charge q 3, (b) potential difference V 3, and (c) stored energy U 3 for capacitor 3, (d) q 1, (e) V 1, and (f) U 1 for capacitor 1, and (g) q 2, (h) V 2, and (i) U 2 for capacitor 2? (a) (b) (c) (d) (e) (f) (g) (h) (i) *2 *3 *4 *5 *6 *7 *8 *9 the number of s is set to 3; the tolerance is +/ 1 in the 3rd *2 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *3 the number of s is set to 3; the tolerance is +/ 1 in the 3rd *4 the number of s is set to 3; the tolerance is +/ 1 in the 3rd *5 the number of s is set to 3; the tolerance is +/ 1 in the 3rd *6 the number of s is set to 3; the tolerance is +/ 1 in the 3rd *7 the number of s is set to 3; the tolerance is +/ 1 in the 3rd *8 the number of s is set to 3; the tolerance is +/ 1 in the 3rd *9 the number of s is set to 3; the tolerance is +/ 1 in the 3rd
Question 12 A parallel plate air filled capacitor has a capacitance of 66 pf. (a) If each of its plates has an area of 0.48 m 2, what is the separation? (b) If the region between the plates is now filled with material having κ = 7.1, what is the capacitance? (a) (b) *2 the number of s is set to 2; the tolerance is +/ 1 in the 2nd *2 the number of s is set to 2; the tolerance is +/ 1 in the 2nd Question 13 A certain parallel plate capacitor is filled with a dielectric for which κ = 4.09. The area of each plate is 0.0657 m 2, and the plates are separated by 2.55 mm. The capacitor will fail (short out and burn up) if the electric field between the plates exceeds 185 kn/c. What is the maximum energy that can be stored in the capacitor? Significant s not applicable; the absolute tolerance is +/ 0.000010000000