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Please answer 3&4 thank you! 3. A parallel plate capacitor of capacitance Co has

ID: 3281097 • Letter: P

Question


Please answer 3&4 thank you! 3. A parallel plate capacitor of capacitance Co has plates of area A with separation d between them. When it is connected to a battery of voltage Voit has charge of magnitude Qo on its plates. It is then disconnected from the battery and the plates are pulled apart to a separation 2d without discharging them. After the plates are 2d apart, the new capacitance and the potential difference between the plates are (a) Co,2AV (b) 200.2AV ANSWER 4. A perfectly conducting metal sphere of radius R, which carries a net positive charge, +q, sits near a smaller perfectly conducting metal sphere of radius R/3, which is neutrally charged. Then the two spheres are connected together by a thin conducting wire. Afterwards, (a) The charges on and the potentials of the spheres are the same as before the wire was connected. (b) Both spheres are at the same potential, but the larger carries the greater positive charge. (e) Both spheres are at the same potential, but the smaller carries the greater positive charge. (d) The larger sphere is at a higher potential than the smaller sphere and both spheres carry the same charge. (e) Both spheres are at the same potential and both carry the same charge ANSWER

Explanation / Answer

Given that

capacitance is C = C0

area of plates , A = A

sepration between plates is d

initially potential difference , V0 = Q/C0

then , C0 = A*epsilon/d

when plates are pulled at 2d seprstion,

sepration between plates d1 = 2 * d

then

capacitance , C1 = A * epsilon/(2 *d)

C1 = (1/2) * C0

potential difference between the plates , V = Q/C1

V = Q / (C0/2)

V = 2 * V0

So, the correct answer is option D

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