Use the figure on the right, which is figure b EXERCISE HINTS: GETTING STARTED I

Question

Use the figure on the right, which is figure b EXERCISE HINTS: GETTING STARTED I I'M STUCK! Find the three currents in figure b, where R 2.3 2. (Note that the direction of one current may have been chosen wrongly!) 1.96 There are many chances for algebraic errors in this problem. Go back and check your work carefully. 12 1.96 There are many chances for algebraic errors in this problem. Go back and check your work carefully. 3.92 There are many chances for algebraic errors in this problem. Go back and check your work carefully.

Explanation / Answer

apply Kirchhoff's loop rule to the lower loop:
5 - I1 + I2 - 5 = 0

then, I1 = I2
apply Kirchhoff's junction rule to the circuit:

I1 + I2 = I3 = 2 I2
apply Kirchhoff's loop rule to the upper loop:
5 - I2 - 2.3 I3 = 0

5 - I2 - 2.3 * 2 I2 = 0

I2 = 0.8928 A,

I1 = I2 = 0.8928 A,

I3 = 2I2 = 1.7857 A

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