Four bulbs and a capacitor are connected to an capacitor is initially uncharged.

Question

Four bulbs and a capacitor are connected to an capacitor is initially uncharged. Immediately after the switch is closed: a) what is the potential difference across the capacitor? Explain. b) Is bulb B brighter than, equal to, or dimmer than bulb C? Explain your reasoning. A very long time after the switch is closed (when the capacitor is essentially fully charged): c) Is bulb B brighter than, equal to. or dimmer than bulb C? Explain your reasoning. d) Find and explain the potential difference across: bulb A, bulb B, and the capacitor? c) Find the charge stored on the capacitor.

Explanation / Answer

a )

the potential difference across the capacitor is ZERO

b )

from fig

applying KVL

i2 = RA i1 + RB i2

i1 = 12 / 5 R , i2 = 24 / 5 R

so

PC = 144 / 25 R

PB = 576 / 25 R

PB > PC

so B glows than C

c )

bulb C is glows more than bulb B

d )

VA = 12 /3 = 4 V

VB = 0

VC = 8 V

e )

Q = C V

= 0.5 X 8

Q = 4 C

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