Question

What is the equivalent resistance in this

Answer 1

All three resistors are in parallel:

So

1/ eq.Resistance = 1/15 + 1/15 + 1/15

1/ eq resistance = 3/15

Eq.Resistance = 15/3 ohm

Eq resistance = 5 ohm

Answer 2

Aɴꜱᴡᴇʀ

➜ Equivalent resistance = 5 $\sf\Omega$

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Gɪᴠᴇɴ

✭ Three resistors, each of 15 $\sf\Omega$ are connected in parallel

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Tᴏ ꜰɪɴᴅ

➤ Their net resistance?

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Sᴛᴇᴘꜱ

➳ We find the net resistance of a circuit is given by

$\large \underline{ \boxed{ \sf{ \frac{1}{R_{net}}= \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} ... ... \frac{1}{R_n} }}}$

❍ Substituting the given values,

$\large \sf \dashrightarrow{} \frac{1}{R_{net}} = \frac{1}{15} + \frac{1}{15} + \frac{1}{15} \\ \\ \large \sf\dashrightarrow{} \frac{1}{R_{net}} = \cancel\frac{3}{15} \\ \\ \large \sf \dashrightarrow{} \frac{1}{R_{net}} = \frac{1}{5} \\ \\ \large \sf \pink{ \dashrightarrow{}R_{net} = 5 \Omega}$

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