Question

the resultant resistance of a circuit with parallel combination of 5ohm and 7ohm​

Answer 1

Given :

• Two resistance R1 and R2 5Ω and 7Ω

To Find :

• Resultant resistance of circuit with parallel combination

Formula Used :

$\bullet\underline{\boxed{\sf \dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}....\: so\; on}}$

Solution :

$\implies{\sf \dfrac{1}{R_{eq}}=\dfrac{1}{5}+\dfrac{1}{7}}$

$\implies{\sf \dfrac{1}{R_{eq}}=\dfrac{7+5}{5 \times 7}}$

$\implies{\sf \dfrac{1}{R_{eq}}=\dfrac{12}{35} }$

$\implies{\sf R_{eq}=\dfrac{35}{12}}$

$\implies{\bf R_{eq}=2.9 }$Ω

Answer :

Resultant Resistance is 2.9Ω

➞ Extra Info. -

• There is same drop of Potential across each Resistance
• Current in each Resistance is inveresly proportional to the value of Resistance
• Current flowing in the circuit is the sim of the current in individual Resistance