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A circuit consists of a battery connected to three resistors (65 , 30 , and 170

ID: 1535523 • Letter: A

Question

A circuit consists of a battery connected to three resistors (65 , 30 , and 170 ) in parallel. The total current through the resistors is 1.7 A .

Part A

Find the emf of the battery.

Express your answer using two significant figures.

Part B

Find the current through 65 resistor.

Express your answer using two significant figures.

Part C

Find the current through 30 resistor.

Express your answer using two significant figures.

Part D

Find the current through 170 resistor.

Express your answer using two significant figures.

Explanation / Answer

Parallel resistances so the equivilant resistance is (1/65 + 1/30 + 1/170)^-1 = 15.872 ohms.

Apply ohms law for the emf=1.7x15.872 = 26.9824 V

the current through each resistor use ohms law again (knowing they're in parallel they have the same voltage)

the current through 65 resistor is 26.9824/65 = 0.415A

the current through 30 resistor is 26.9824/30 = 0.899A

the current through 170 resistor is 26.9824/170= 0.1587A

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