Question

please answer with explanations ​

Answer 1

✪ᴀɴsᴡᴇʀ✪

• 2) Equivalent resistance is R/2.

★ᴇxᴘʟᴀɪɴᴀᴛɪᴏɴ★

• The resistor with resistance 2R has both its ends connected to B. As such both ends will have same electric potential and no current will flow through this resistor.

• Thus it has no contribution to equivalent resistance and can be removed from the circuit.

• So, the circuit has two resistors each of resistance R connected in parallel.

$\implies \frac{1}{R_{eq}} = \frac{1}{R} + \frac{1}{R}$

$\implies \frac{1}{R_{eq}} = \frac{2 }{R}$

$\implies R_{eq}= \frac{R}{2}$