You touch a defective appliance while standing on the ground, and you feel the tingle of a 2.5-mA current. What's your resistance, assuming you're touching the "hot" side of the \(120-\mathrm{V}\) household wiring?

Short Answer

Expert verified
The resistance of the person touching the faulty appliance is \(48000 \Omega\).

Step by step solution

01

Identify Known Quantities

From the problem, we have the current \(I\) which is 2.5mA or 0.0025A (this needs to be converted to Amps for consistency) and the voltage \(V\) which is 120V.
02

Apply Ohm's Law

Ohm's law states that \(V = IR\). Here, we are looking for the resistance \(R\). As a result, we rearrange the formula to find \(R = \frac{V}{I}\).
03

Calculate Resistance

We substitute the known values into the resistance formula to evaluate the resistance. Therefore, \(R = \frac{120V}{0.0025A} = 48000 \Omega\).

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