Evaluate the resistance that must be placed in parallel with a 146 Ω resistor to makethe equivalent resistance of 116 Ω
Question
Evaluate the resistance that must be placed in parallel with a 146 Ω resistor to makethe equivalent resistance of 116 Ω
Solution
Sure, here is the step by step solution:
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First, we need to understand the formula for equivalent resistance (Re) in a parallel circuit, which is given by 1/Re = 1/R1 + 1/R2.
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In this case, we know the equivalent resistance (Re = 116 Ω) and one of the resistors (R1 = 146 Ω). We need to find the value of the second resistor (R2).
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We can rearrange the formula to solve for R2: 1/R2 = 1/Re - 1/R1.
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Substituting the given values: 1/R2 = 1/116 - 1/146.
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Solve the equation to find the value of 1/R2.
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Finally, to find R2, take the reciprocal of the value obtained in step 5. This will give you the resistance that must be placed in parallel with the 146 Ω resistor to make the equivalent resistance of 116 Ω.
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