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Calculate the equivalent resistance of two resistors, R1 = 300 Ω and R2 = 200 Ω, connected in parallel.

Physics

ScanSolve AI Answer

Answer

120 Ω\text{120 } \Omega

Step-by-step solution

3 steps
  1. Identify the formula for two resistors in parallel.

    For two resistors R1R_1 and R2R_2 connected in parallel, the equivalent resistance ReqR_{eq} is given by the formula:

    Req=R1×R2R1+R2R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2}
  2. Substitute the given values into the formula.

    From the image, the values are R1=300 ΩR_1 = 300 \, \Omega and R2=200 ΩR_2 = 200 \, \Omega.

    Req=300 Ω×200 Ω300 Ω+200 ΩR_{eq} = \frac{300 \, \Omega \times 200 \, \Omega}{300 \, \Omega + 200 \, \Omega}
  3. Calculate the equivalent resistance.

    Req=60000 Ω2500 ΩR_{eq} = \frac{60000 \, \Omega^2}{500 \, \Omega} Req=120 ΩR_{eq} = 120 \, \Omega

    The equivalent resistance for the parallel combination is 120 Ω\text{120 } \Omega.

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