Question

You have a cylindrical 20 Ω carbon resistor (ρ=5x10-5 Ω m) that is 1.0 cm long...

You have a cylindrical 20 Ω carbon resistor (ρ=5x10-5 Ω m) that is 1.0 cm long and has a cross section area of 0.1 mm2. The resistor is connected to a 5 V battery.

Part 1: What is the resistance of the resistor if its area is doubled?

Part 2: By what factor does the power dissipated by the resistor change if the resistor length is halved and the battery voltage is doubled?

Part 3: By what factor does the current in the circuit change if the resistor length is doubled and the battery voltage is doubled?

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