(a)
The equivalent resistance of given figure.
Answer to Problem 83QAP
The equivalent resistance of the circuit is
Explanation of Solution
Given:
The given circuit is shown below.
Figure 1
Resistors are as,
Formula used:
For series combination, equivalent resistance can be written as,
For parallel combination of resistors, equivalent resistance can be written as,
Calculation:
Now,
Conclusion:
Thus, equivalent resistance of the given circuit is
(b)
The current through each resistor
Answer to Problem 83QAP
Current through
Current through
Current through
Explanation of Solution
Given:
Potential difference between a and b =
Formula used:
By ohm's law,
V = potential difference between two points
R = resistance
Calculation:
Total current =
From the figure 1, total current through the circuit = current through
So,
Again, from the figure
Now, by ohm's law,
Conclusion:
Thus, the current through
(c)
The power dissipated in each resistor.
Answer to Problem 83QAP
Power dissipated in
Power dissipated in
Power dissipated in
Explanation of Solution
Given:
From part b,
Current through
Current through
Current through
Formula used:
Power dissipated across resistance,
Calculation:
Power dissipated across
Power dissipated across
Power dissipated across
Conclusion:
Power dissipated in
Power dissipated in
Power dissipated in
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Chapter 18 Solutions
COLLEGE PHYSICS
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