(a)
The power absorbed by each resistor when switch is open.
(a)
Answer to Problem 44PQ
The power absorbed by resistor
Explanation of Solution
When switch is open, battery
Write the expression for total current passes through the loop 2 as.
Here,
Write the expression for equivalent resistance of the loop 2 as.
Here,
Write the expression for the power-absorbed in resistor as.
Here,
Substitute
Here,
Substitute
Here,
Substitute
Here,
Substitute
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the power absorbed by resistor
(b)
The power absorbed by each resistor when switch is closed.
(b)
Answer to Problem 44PQ
When switch is closed, the power absorbed by resistor
Explanation of Solution
When switch is closed, battery
Refer to above figure, apply Kirchhoff’s voltage law in the first loop.
Write the expression for current as.
Simplify the above equation as.
Here,
Refer to above figure, apply Kirchhoff’s voltage law in the loop 2.
Write the expression for current as.
Simplify the above equation as.
Here,
Write the expression for power absorbed by resistor
Here,
Write the expression for power absorbed in resistor
Here,
Write the expression for power absorbed by resistor
Here,
Write the expression for power absorbed by resistor
Here,
Conclusion:
Substitute
Rearrange the above equation as.
Substitute
Rearrange the above equation as.
Simplify and solve equation (XIII) and equation (XIV) as.
The current in the loop 2 is given as.
Substitute
Substitute
Substitute
Substitute
Thus, when switch is closed, the power absorbed by resistor
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Chapter 29 Solutions
Physics For Scientists And Engineers: Foundations And Connections, Extended Version With Modern Physics
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