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In the circuit shown in the figure, four identical resistors labeled A to D are

ID: 1540408 • Letter: I

Question

In the circuit shown in the figure, four identical resistors labeled A to D are connected to a battery as shown. S_1 and S_2 are switches. Which of the following actions would result in the GREATEST amount of current through resistor A? closing both switches closing S_2 only leaving both switches open as shown. closing S_1 only A resistor and a capacitor are connected in series across an ideal battery having a constant voltage across its terminals. At the moment contact is made with the battery the voltage across the capacitor is equal to the battery's terminal voltage. less than the battery's terminal voltage, but greater than zero. equal to the battery's terminal voltage. zero. the voltage across the resistor is equal to the battery's terminal voltage. less than the battery's terminal voltage, but greater than zero. equal to the battery's terminal voltage. zero.

Explanation / Answer

(11) ans

here we observed

both switch are closed

the equivalent resistance Req=R+R/3=4R/3

the current I=V/Req=V/4R/3=0.75 v/R

switch S1 are s2 are closed

the equivalent resistance Req=R+R/2=3R/2

the current I=V/Req=V/3R/2=0.66 V/R

if both switch are open

the equivalent resistannce Req=2R

the current I=V/2R=0.5 R

so the correct option is A

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(12)(a) ans

the voltage across the capacitor Vc=E(1-e^-t/CR}

but t=cR

so the potential difference across the capacitor Vc=E(1-e^-CR/CR)=E[1-e^-1]=0.63E

the correct option is B

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12(b) ans

the voltage across the resistor Vr=Ee^-t/CR

=Ee^-CR/CR

=0.37 E

the correct option is B