In the circuit, the voltmeter shows a voltage of 11 V, and the ammeter shows a current of 2 A.

In the circuit, the voltmeter shows a voltage of 11 V, and the ammeter shows a current of 2 A. The EMF of the current source is 12 V. Find the resistance of the resistor and the internal resistance of the current source.

Given:

U – 11 V.

I – 2 A.

E (EMF) – 12 V.

Find:

R -?

r -?

Solution:

First, we find the resistance of the resistor using the formula:

R = U / I.

The values are known, we substitute them into the formula:

R = 11/2 = 5.5 ohms.

Now let’s find the internal resistance of the current source. Let’s transform the formula:

I = E / R + r.

r = E / I – R.

Substitute the values into the formula:

r = 12/2 – 5.5 = 0.5 ohm.

Answer: R = 5.5 ohms, r = 0.5 ohms.