Open Question
Draw a circuit diagram for the circuit of FIGURE EX28.2.
27. Resistors & DC Circuits
Combining Resistors in Series & Parallel
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What is the equivalent resistance of a resistor in parallel with a resistor?
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Verified step by step guidance1
Identify that the resistors are in parallel. In a parallel circuit, the total or equivalent resistance (R_eq) can be found using the formula: 1/R_eq = 1/R1 + 1/R2.
Substitute the given resistor values into the formula. Here, R1 = 4.0 Ω and R2 = 6.0 Ω. So, the equation becomes: 1/R_eq = 1/4.0 + 1/6.0.
Calculate the reciprocal of each resistor value: 1/4.0 = 0.25 and 1/6.0 = 0.1667.
Add the reciprocals together: 0.25 + 0.1667 = 0.4167.
Take the reciprocal of the sum to find the equivalent resistance: R_eq = 1/0.4167. This will give you the equivalent resistance in ohms.
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