Concept explainers
Find the total resistance and the current flow in each branch for the circuit.

Answer to Problem 19P
The total resistance is
The current flows through the branch
The current flows through the branch
The current flows through the branch
Explanation of Solution
Given data:
The supply voltage is
The value of the resistor
The value of the resistor
The value of the resistor
Formula used:
Formula to calculate the total resistance in a parallel circuit,
Here,
Formula to calculate the voltage across the resistor
Here,
Rearrange the equation for the current flow through the resistance
Formula to calculate the voltage across the resistor
Here,
Rearrange the equation for the current flow through the resistance
Formula to calculate the voltage across the resistor
Here,
Rearrange the equation for the current flow through the resistance
Formula to calculate the total current drawn by the circuit,
Calculation:
Refer to Figure problem 12.19 in the textbook, and redraw it as Figure 1, with the two light bulbs represents the resistors
Substitute
Reduce the equation as,
The voltage drop across the each light bulb and the resistor is equal to the
Substitute
Substitute
Substitute
Substitute
Conclusion:
Hence,
The total resistance is
The current flows through the branch
The current flows through the branch
The current flows through the branch
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