Find the equivalent resistance when 1ohm and 1 ohm are in parallel and 2ohm and 2ohm are in parallel in a circuit
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The equivalent resistance is given by :
R_{eq}=0.667\ \text{\O}megaReq=0.667 Ømega
Explanation:
`Let R_1\ and\ R_2R1 and R2 are the resistances of two resistors that are connected in parallel. We need to find the equivalent resistance of the combination. We know that in parallel combination of resistors, the voltage across each resistor remains the same while the electric current divides.
Here, R_1=1\ \text{\O}megaR1=1 Ømega
R_2=2\ \text{\O}megaR2=2 Ømega
The equivalent resistance is given by :
\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}Req1=R11+R21
\dfrac{1}{R_{eq}}=\dfrac{1}{1}+\dfrac{1}{2}Req1=11+21
R_{eq}=0.667\ \text{\O}megaReq=0.667 Ømega
Hence, this is the required solution.
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