Electricity. Question 1

Chart

Question.

Find the magnitude of the current and its direction in each resistor?
Consider the following figure. (Assume R1 = 29.0 Ω, R2 = 22.0 Ω, and V = 18.0 V.)

Source. Yahoo! Answers.

Solution.

Let’s use Kirchhoff’s Laws

Vab = E-I*R

Vab = 10 – I * 5
Vab = 18 – I1 * 29
Vab = 0 – I2 * 22

I = I1 + I2

From this equations we will have

10 – I * 5 = 18 – I1 *29
10 – I * 5 = I2 * 22
I = I1 + I2

And Finally

I = 0.69A From A to B at the center through R= 5 Om
I1 = 0.4A From B to A through R1
I2 = 0.29A From B to A through R2

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