The wiring in the wall of your house to and from an outlet has a total resistanc

Question

The wiring in the wall of your house to and from an outlet has a total resistance of typically 0.24 . Suppose a device plugged into a 120 V outlet draws 13.0 A of current.

Part A

What is the voltage drop along the wire?

Part B

How much power is dissipated in the wire?

Part C

What is the voltage drop across the device?

Part D

At what rate does the device use electric energy?

The wiring in the wall of your house to and from an outlet has a total resistance of typically 0.24 Ohm. Suppose a device plugged into a 120 V outlet draws 13.0 A of current. What is the voltage drop along the wire? Express your answer to two significant figures and include the appropriate units. How much power is dissipated in the wire? Express your answer to two significant figures and include the appropriate units. What is the voltage drop across the device? Express your answer to three significant figures and include the appropriate units. At what rate does the device use electric energy? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

A.

Voltage drop along the wire will be

dV = i*R

dV = 13*0.24 = 3.12 V

B.

Power dissipated in the wire

P = i^2*R = 13^2*0.24 = 40.56 W

C.

Voltage drop across the device will be:

dV)device = 120 - 3.12 = 116.88 V

D.

electric energy used by device

P)device = dV)device*i

P)device = 116.88*13 = 1519.44 W

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