# What charge passes through the cross-section of a conductor in 2 minutes if its resistance is 6 ohms

What charge passes through the cross-section of a conductor in 2 minutes if its resistance is 6 ohms and the potential difference at the ends of the conductor is 120 V?

Initial data: t (charge passage time) = 2 min; R (conductor resistance) = 6 ohms; φ1 – φ2 (potential difference at the ends of the conductor) = 120 V = U (voltage).

SI system: t = 2 min = 2 * 60 s = 120 s.

1) Determine the current in the conductor: I = U / R = 120/6 = 20 A.

2) Let’s calculate the charge that will pass through the conductor in 2 minutes: q = I * Δt = 20 * 120 = 2400 C.

Answer: A charge of 2400 C will pass through the cross-section of the conductor in 2 minutes.

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