What charge will pass through the cross-section of a loop with a resistance of up to 400

What charge will pass through the cross-section of a loop with a resistance of up to 400 mΩ with an increase in the magnetic flux in the middle of the loop by 6 mWb?

We start the solution with a short note given:

R = 400 mΩ = 0.4 Ω;

ΔF = 6 mVb = 0.6 * 10 ^ (- 2) Vb.

Find:

q -?

Solution:

Let us apply the law of electromagnetic induction to the solution:

ε = ΔФ / Δt.

Let’s apply Ohm’s law:

I = ε / R = q / Δt.

We express from the formula q:

q = (ε * Δt) / R = ΔФ / R.

We know all the values for the calculation, so we just need to substitute the values into the formula and perform the calculations:

q = 0.6 * 10 ^ (- 2) Wb / 0.4 Ohm = 0.04 Cl.

The charge q = 0.04 C will pass through the cross section of the loop.

Answer: q = 0.04 Cl.