An inexperienced mechanic is installing a 12-V battery in a car. The negative te

Question

An inexperienced mechanic is installing a 12-V battery in a car. The negative terminal has been connected. He is currently tightening the bolts on the positive terminal. With a tight grip on the wrench, he turns it so that the gold ring on his finger makes contact with the frame of the car. This situation is modeled in the figure below, where we assume that the resistance of the wrench is negligible and the resistance of the contact is as follows: R1 = Rbolt to wrench = 0.011 Ohm R2 = Rwrench to ring = 0.011 Ohm R3 = Rring = 0.011 Ohm R4 = Rring to frame = 0.011 Ohm What power is quickly dissipated in the gold ring?

Explanation / Answer

The current flo through the ring I = 12/ (0.011+0.011+0.011+0.011) = 12/ 0.044 = 272.727A

Power dissipated in the ring P = I^2 * Rring = 272.727^2 * 0.011 = 818.2 W

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