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n the circuit shown, R 1 = 10 ?, R 2 = 100 ?, and R 3 = 1000 ?. The wires in the

ID: 2103851 • Letter: N

Question

n the circuit shown, R1 = 10 ?, R2 = 100 ?, and R3 = 1000 ?. The wires in the circuit are ideal (have no resistance) but the battery has a small internal resistance.

Which statements about R3 is (are) true?

Select all answers that are correct.

I3 is zero because the current goes through the path of least resistance.

I3 is zero. The voltage across R3, ?V3, is zero because all the potential is used up in the internal resistance of the battery, R1, and R2.

?V3 is greater than ?V1 and ?V2 because R3 has the largest resistance.

?V3 is smaller than ?V1 and ?V2 because R3 has the largest resistance.

I3 will decrease if R1 is removed from the circuit

I3 will increase if R2 is removed from the circuit.

None of the above.

A)

I3 is zero because the current goes through the path of least resistance.

B)

I3 is zero. The voltage across R3, ?V3, is zero because all the potential is used up in the internal resistance of the battery, R1, and R2.

C)

?V3 is greater than ?V1 and ?V2 because R3 has the largest resistance.

D)

?V3 is smaller than ?V1 and ?V2 because R3 has the largest resistance.

E)

I3 will decrease if R1 is removed from the circuit

F)

I3 will increase if R2 is removed from the circuit.

G)

None of the above.

Explanation / Answer

let us say V=1000 V

so

I1 =1000/10 =100 A

I2=1000/100=10 A

I3=1000/1000 =1A

so I3<<I2<I1

so I3=0

so A is correct