Multiple Choice
The five identical lightbulbs in the figure are all glowing. What change in brightness will occur if bulb S is unscrewed and removed from the circuit?
27. Resistors & DC Circuits
Solving Resistor Circuits
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What is the voltage of the battery below?
A
1.71 V
B
5.25 V
C
11.3 V
D
13.0 V
Verified step by step guidance1
Identify the components in the circuit: There are two resistors in parallel (1 Ω and 3 Ω) and two resistors in series (1 Ω and 2 Ω) with a current of 3 A flowing through the 2 Ω resistor.
Calculate the equivalent resistance of the parallel resistors using the formula: 1/R_parallel = 1/R1 + 1/R2, where R1 = 1 Ω and R2 = 3 Ω.
Add the equivalent resistance of the parallel resistors to the series resistors to find the total resistance in the circuit: R_total = R_parallel + R_series, where R_series = 1 Ω + 2 Ω.
Use Ohm's Law to find the voltage across the battery: V = I * R_total, where I = 3 A is the current flowing through the circuit.
Substitute the values of I and R_total into the equation to calculate the voltage V across the battery.
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