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A parallel-plate capacitor is constructed of two horizontal 12-cm diameter circu

ID: 1881783 • Letter: A

Question

A parallel-plate capacitor is constructed of two horizontal 12-cm diameter circular plates. A 1.0 g plastic bead, with a charge of +26 nC, is suspended (at rest) between the two plates. What is the charge on the postive plate?

A parallel-plate capacitor is constructed of two horizontal 12-c diameter circular plates. A 1.0 g plastic bead, with a charge of +26 nC, is suspended (at rest) between the two plates. WI a) which plate is positive? A. The upper plate B. The lower plate C. Both plates b) What is the charge on the positive plate?

Explanation / Answer

since the charge is positve , the electric force would be acting on the ball upwards

electric field lines run from positive to negative charge

weight = electric force

mg = qE

and E = Q/Aeo

where Q c= charge on the plate , A = area of the plate , q = charge on the bead , m= mass of the bead

mg = Qq / Aeo

10^-3*9.8 = Q*26*10^-9 / (pi*0.06^2) * 8.85*10^-12

Q = 3.77*10^-8 C

= 37.7 nC

a) the lower plate will be positve

b) charge on the positive plate = + 37.7 nC

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