Find the charge that has passed through the conductor in 30 minutes if the voltage is 200 mV
Find the charge that has passed through the conductor in 30 minutes if the voltage is 200 mV and the resistance is 0.4 kOhm.
t = 30 min = 1800 s.
U = 200mV = 0.2V.
R = 0.4kΩ = 400Ω.
Q -?
The strength of the current in the conductor I is the ratio of the electric charge Q passed through the cross-section of the conductor to the time of its passage t: I = Q / t.
We express the same current strength in the conductor I according to Ohm’s law for a section of the circuit, the ratio of voltage U to the resistance of the conductor R: I = U / R.
Q / t = U / R.
The electric charge Q passed through the conductor will be determined by the formula: Q = U * t / R.
Q = 0.2 V * 1800 s / 400 Ohm = 0.9 Cl.
Answer: an electric charge Q = 0.9 C passed through the conductor.