A solid metallic sphere with a radius of 0.18 m carries a certain amount of char

Question

A solid metallic sphere with a radius of 0.18 m carries a certain amount of charge. At a point with a distance of 0.20 m from the center of the sphere, the electric field has a magnitude of 500 N/C and is directed outward. What's the magnitude of electric field at a point with a distance of 0.16 m from the center of the sphere (in N/C). 500 times 20/0.16 500 times 20/0.16^2 500 times 20/0.18^2 500 times 20/0.18 0 A 12-mF capacitor and a 6-mF capacitor are connected together as shown. What is the equivalent capacitance of the two capacitors as a unit? C_eq = 18 mF C_eq = 9 mF C_eq = 6 mF C_eq = 4 mF C_eq = 2 mF A 12-mF capacitor and a 6-mF capacitor are connected together as shown. If the charge on the 12-mF capacitor is 24 micro coulombs (24 mC), what is the charge on the 6-mF capacitor? 48 mC 36 MC 24 MC 12 MC 6 mC Points A [at (3, 6) m] and B [at (8, -3) m] are in a region where the electric field is uniform and given by E = 12i N/C. What is the electric potential difference V_A - V_B? +60 V -60 V -80 V -80 V +50 V

Explanation / Answer

6)

C1 = 12 uF

C2 = 6 uF

C1 and C2 are connected in parallel to each other

Ceq = AC = C1 + C2 = 18 uF

7)

Connected in series, the separation distance, not the plate area, adds up. The capacitors each store instantaneous

charge build-up equal to that of every other capacitor in the series. The total voltage difference from end to end is

apportioned to each capacitor according to the inverse of its capacitance. The entire series acts as a capacitor

smaller than any of its components.

Thus q1 = q2 = 24 mC

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