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Resistance and Ohm's Law

Two resistors...

Question

Two resistors of resistance $R_{1}$ and $R_{2}$ having $R_{1} > R_{2}$ are connected in parallel. For equivalent resistance R, the correct statement is:

A

R > R_{1} + R_{2}

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B

R_{1} < R < R_{2}

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C

R_{2} < R < (R_{1} + R_{2})

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D

R < R_{1}

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Solution

The correct option is D $R < R_{1}$
If the two resistors are in parallel connection and of the same value, then the equivalent resistance, $R_{T}$ is equal to half the value of one resistor. The equivalent resistance of parallel resistors is always less than any of the resistors of the resistance system. Whereas the equivalent resistance of a series system is always greater than the individual resistors.

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