In the circuit of the figure, the 5.0 ? resistor is removed and replaced by a re

Question

In the circuit of the figure, the 5.0 ? resistor is removed and replaced by a resistor of unknown resistance R. When this is done, an ideal voltmeter connected across the points b and creads 1.9 V. (Figure 1)

A.Find the current in the circuit.

B.Find the resistance

R

In the circuit of the figure, the 5.0 ? resistor is removed and replaced by a resistor of unknown resistance R. When this is done, an ideal voltmeter connected across the points b and creads 1.9 V. (Figure 1) A.Find the current in the circuit. B.Find the resistance

Explanation / Answer

-8+1.4i+5i+1.6i+16+9i = 0

i = -8/17= -0.47A

i = 0.47A(anticlockwise)

current in 9 ohms = 0.47*9=4.23V

new voltage in 9 ohms = 1.9 V

new current = 1.9/9 = 0.211 A

the resistance is

-8+(R+1.6+1.4+9)(-0.211)+16 = 0

(12+R)(-0.211)= -8

12 + R = 8/0.211

12+R = 38

R = 38-12 = 26 ohms

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