When two resistance are connected in parallel then the equivalent… - Vidyadip

MCQ

When two resistance are connected in parallel then the equivalent resistance is $\frac {6}{5}\Omega $ . When one of the resistance is removed then the effective resistance is $2\, \Omega $. The resistance of the wire removed will be ................ $\Omega$

✓
$3$
B
$2$
C
$0.6$
D
$1.2$

✓

Answer

Correct option: A.

$3$

a
$\frac{\mathrm{R}_{1} \mathrm{R}_{2}}{\mathrm{R}_{1}+\mathrm{R}_{2}}=\frac{6}{5}\, \Omega$

Now, one resistance is removed then $\mathrm{R}_{2}=0$

$\therefore \mathrm{R}_{1}=2\, \Omega$

$\therefore \frac{2 \mathrm{R}_{2}}{2+\mathrm{R}_{2}}=\frac{6}{5}$

$10 \mathrm{R}_{2}=12+6 \mathrm{R}_{2}$

$4 \mathrm{R}_{2}=12$

$\mathrm{R}_{2}=3\, \Omega$

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