The emf in Figure P29.40 is 4.54 V. The resistances are
- a. the current in each resistor,
- b. the power consumed by each resistor, and
- c. the power supplied by the emf device.
(a)
Determine the current in each resistor.
Answer to Problem 40PQ
The current in resistor
Explanation of Solution
Refer to figure P29.40, in the given circuit,
Write the expression for current in resistor
Here,
Write the expression for current in
Here,
The current through resistance
Here,
Conclusion:
Substitute
Substitute
As the current
Therefore, the current in resistor
(b)
Power consumed by each resistor.
Answer to Problem 40PQ
Power consumed by resistor
Explanation of Solution
Write the expression for power consumed by each resistor as.
Here,
Substitute
Here,
Substitute
Here,
Substitute
Here,
Conclusion:
Substitute
Substitute
Substitute
Thus, the power consumed by resistor
(c)
Power supplied by the Emf device.
Answer to Problem 40PQ
Power supplied by the emf device is
Explanation of Solution
Write the expression for power drawn by the circuit as.
Here,
Write the expression for equivalent resistance of the given circuit as.
Substitute
Rearrange the above expression as.
Here,
Conclusion:
Substitute
Thus, the power supplied by the emf device is
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Chapter 29 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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