At a voltage of 5 V, a charge of 0.4 C passed through a conductor with a resistance of 2 kOhm.

At a voltage of 5 V, a charge of 0.4 C passed through a conductor with a resistance of 2 kOhm. Assuming the current strength to be constant, find the charge flow time.

U = 5 V.

R = 2 kΩ = 2000 Ω.

Q = 0.4 Cl.

t -?

According to Ohm’s law for a section of the circuit, the current I in the conductor is directly proportional to the voltage at its ends U and inversely proportional to the resistance of the conductor of the conductor R: I = U / R.

According to the definition, the current strength 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.

Let’s equate the formulas with each other: U / R = Q / t.

Let us express the transit time of an electric charge by the formula: t = R * Q / U.

t = 2000 Ohm * 0.4 C / 5 V = 160 s.

Answer: the transit time of the electric charge is t = 160 s.