Question

Resistors having resistance of 15ohm and 20ohm and 10ohm are connected in parallel. What is effective resistance in circuit ?

Answer 1

When resistors are connected in series, then the equivalent resistance of all series connected resistors will be the sum of all individual resistors.

We have to just simply add those individual resistors.

R1 + R2 + R3 … + Rn = Req (In series connection)

Similarly,

When resistors are connected in parallel, then the equivalent resistance of all parallel connected resistors will be the lowest value of all individual resistors values. We have to just simply divide those individual resistors.

1/R1 + 1/R2 + 1/R3 . + 1/Rn = 1/Req (In series connection)

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Answer 2

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$\bf\underline\red{GiVeN}$

$R_{1} = 15 Ω$

$R_{2} = 20 Ω$

$R_{3} = 10 Ω$

$\bf\underline\red{SoluTioN}$

$\frac{1}{R_{p}}$ =$\frac{1}{R_{1}}$ +$\frac{1}{R_{2}}$ +$\frac{1}{R_{3}}$

$\frac{1}{R_{p}}$ = $\frac{1}{15}$ +$\frac{1}{20}$ +$\frac{1}{10}$

$= \frac{4+3+6}{60}$ =$\frac{13}{60}$

$\frac{1}{R_{p}}$ = $\frac{60}{13}$ = 4.615 Ω