Concept explainers
Find the current in each branch in the circuit.
Answer to Problem 23P
The current in the branch
The current in the branch
The current in the branch
Explanation of Solution
Given data:
The value of the resistance
The value of the resistance
The value of the resistance
The supply voltage in the circuit is
Formula used:
Formula to calculate the equivalent resistance in the circuit is,
Here,
Formula to calculate the total resistance in the circuit is,
Here,
By using ohm’s law to find the voltage V is,
Here,
Rearrange the equation for the total current as,
By using current division rule to find the unknown current
By using current division rule to find the unknown current
Calculation:
Refer to Figure 12.16 in textbook for the example problem 12.6, redraw the circuit by replacing the light bulbs with resistors as shown in Figure 1, the
Substitute
Substitute
Substitute
Therefore, the total current in the circuit is
The current through the resistor
Substitute
Substitute
Conclusion:
Thus,
The current in the branch
The current in the branch
The current in the branch
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Chapter 12 Solutions
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