Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Q.

The expression for the equivalent resistance of the combination of resistors $R_{1}, R_{2} and R_{3}$ in a parallel combination is

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

a

R_{s} = R_{1} + R_{2} + R_{3}

b

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

c

Both 1 and 2

d

None of the above

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given the resistors

R 1, R 2 and R 3

are connected in parallel with a battery, key and an ammeter connected. The current I flows through the circuit. Let the voltage (potential difference) across each resistance be V. We know the voltage remains the same for a parallel combination.
Using Ohm's law we have

V = I_{1} R_{1}; V = I_{2} R_{2} and V = I_{3} R_{3}

I_{1} = \frac{V}{R_{1}}; I_{2} = \frac{V}{R_{2}} and I_{3} = \frac{V}{R_{3}}

Total current in the circuit

I_{p} = I_{1} + I_{2} + I_{3}

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

Therefore

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

Here in parallel combination of resistors, the reciprocal of equivalent resistance is equal to the sum of the reciprocals individual resistances.

https://lh6.googleusercontent.com/QJ-ad9aFDgAWznjRU7l1Vqx-y7swoY43eTZzZxpwt4jILa4d0z1wf13VdN1k8L7AuAFL7j0h9wfw_Doc2bSNsaO1RpwHc1xbLo1tUjPKfLduQDkyDn3yC3z0L3yDx4_-HxuANKq8PL-Lg9OedFEEOF_aT2J5_LgBlX-I7D955QKvO0OgBf1-khMRFBpzzawEt0Tfww

Watch 3-min video & get full concept clarity

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

Not sure what to do in the future? Don’t worry! We have a FREE career guidance session just for you!