A circuit is made of 25V Battery and four resistors as shown above: a) What is t

Question

A circuit is made of 25V Battery and four resistors as shown above: a) What is the battery current when the swich is open?
I=? (switch open)
b) What is the potential difference between points a and b when the switch is open?
deltaV between a and b=? (switch open)
c) What is the battery current when the switch is closed?
I=? (switch closed)
d) What is the potential difference between points a and b when the switch is closed?
deltaV between a and b=? (switch closed)
A circuit is made of 25V Battery and four resistors as shown above: What is the battery current when the swich is open? I=? (switch open) What is the potential difference between points a and b when the switch is open? deltaV between a and b=? (switch open) What is the battery current when the switch is closed? I=? (switch closed) What is the potential difference between points a and b when the switch is closed? deltaV between a and b=? (switch closed)

Explanation / Answer

when switch is open

R34 = 12+10 = 22 ohms
R12 = 4+10 = 14 ohms

Rnet = R12*R34/(R12+R34) = 8.56 ohm

a) I = V/Rnet = 25/8.56 = 2.922 A

b)
currrent through R1 and R2, i12 = R34*I/(R12+R34) = 1.786 A
currrent through R3 and R4, i34 = R12*I/(R12+R34) = 1.136 A


V1 = i12*R1 = 1.786*4 = 7.143 volts

V3 = i34*R3 = 1.136*12 = 13.636 volts

Vab = 13.636-7.143 = 6.493 volts


when switch is closed

R13 = R1*R3/(R1+R3) = 3 ohms

R24 = R2*R4/(R2+R4) = 5 ohms

Rnet = R13+R24 = 8 ohm

a) I = V/Rnet = 25/8 = 3.125 A

b)

Vab = 0

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