A charge equal to 60 C passed through the conductor, to the ends of which a voltage of 12 V
June 15, 2021 | education
| A charge equal to 60 C passed through the conductor, to the ends of which a voltage of 12 V was applied, in 5 minutes. Determine the resistance of the conductor.
U = 12V.
t = 5 min = 300 s.
q = 60 Cl.
R -?
According to Ohm’s law for a section of a circuit, the current I is directly proportional to the voltage at the ends of the conductor U and inversely proportional to the resistance of the conductor R: I = U / R.
According to the definition, the current I is the charge q that passes through the cross section of the conductor per unit of time t: I = q / t.
U / R = q / t.
The resistance of the conductor will be determined by the formula: R = U * t / q.
R = 12V * 300s / 60 Cl = 60 Ohm.
Answer: the resistance of the conductor is R = 60 ohms.
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