Question

Two resistors r1 ohm and 15 ohm are connected in parallel circuit .If the resultant resistance in the circuit is 3 ohm find the value of R1

Answer 1

Answer:

R1= 5 ohm.

Explanation:

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Answer 2

Answer:

Two resistors R1 ohms and 15ohms are connected in parallel in a circuit if the resultant resistance in the circuit is 3ohms the value of R1 is 3.75Ω

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 a resistance $R_{2}=15$Ω

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

substitute the given values to get the resistance

⇒$3=\frac{R_{1}*15 }{R_{1} +15 }$

⇒$3*R_{1} +3*15 =15*R_{1}$

⇒

$45=12R_{1}\\ R_{1}=45/12=3.75$