A carbon resistor is 3 mm long and has a constant cross-section of 0.3 mm2. The conductivity of carbon at room temperature is σ = 3 ✕ 104 per ohm·m. In a circuit its potential at one end of the resistor is 14 volts relative to ground, and at the other end the potential is 19 volts. Calculate the resistance R and the current I.
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