Question

two resistor of resistance R ohm are connected in parallel in circuit.if the resultant resistance in the circuit is 3 ohm the value of R is​

Answer 1

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Answer 2

Answer:

Two resistors of resistance R ohm are connected in parallel in a circuit. if the resultant resistance in the circuit is 3 ohm the value of R is​ 6Ω

Explanation:

• A resistor is  used to resist the current flow through  a circuit

• If two resistors with resistances $R_{1} ,R_{2}$ are connected in parallel in a circuit the effective resistance that appeared in the circuit is given by the formula

             $1/R_{eff} =1/R_{1} +1/R_{2}$

          ⇒$R_{eff} =\frac{R_{1} R_{2} }{R_{1} +R_{2} }$

from the question, we have given that

the value of the resistances $R_{1} =R_{2}=R$

the effective resistance of the circuit $R_{eff} =3$ Ω

substitute the given values to get the resistance

⇒$3=\frac{R^{2} }{R+R }$

⇒$3*R+3*R =R^{2}$

⇒

$6R=R^{2}\\R=6$