Question

(૩) ણપુર 5. 2 ओम,4 ओम, और 5 ओम के प्रतिरोधक पार्श्व क्रम में संयोजित हैं तो संयोजन का कुल प्रतिरोध होगा- (ब) 20/190 (स) 190 (द) 110 (अ) 19/200​

Answer 1

SOLUTION

TO DETERMINE

The resistors of 2 ohm, 4 ohm, and 5 ohm are connected in parallel then the total resistance of the combination will be

EVALUATION

Here it is given that the resistors of 2 ohm, 4 ohm, and 5 ohm are connected in parallel

Let R be the total resistance of the combination

So by the given condition

$\displaystyle \sf{ \frac{1}{R} = \frac{1}{2} + \frac{1}{4} + \frac{1}{5} }$

$\displaystyle \sf{ \implies \frac{1}{R} = \frac{10 + 5 + 4}{20} }$

$\displaystyle \sf{ \implies \frac{1}{R} = \frac{19}{20} }$

$\displaystyle \sf{ \implies R= \frac{20}{19} }$

FINAL ANSWER

The total resistance of the combination

$\displaystyle \sf{= \frac{20}{19} \: \: \: ohm }$

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