Contact

For Study plan details

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

OR

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

93219 24448 / 99871 78554

Mon to Sat - 10 AM to 7 PM

# What is the value of R

Asked by Prashant DIGHE 22nd July 2019, 3:45 PM
Let current i drawn from 10 V battery is getting divided as i1 and i2  as shown in figure.
Current i1 is passing through 4V battery and current i2 is passing through 6V battery as shown in figure.

Let us apply Kirchoff's voltage law to the loop A-B-C-D-A :-   10 -2i -R i1 -4 = 0   or 2i + R i1 = 6  ................ (1)

since we have,  i = i1 + i2 ,  eqn.(1) is rewritten as,  (R+2) i1 + 2 i2 = 6  ....................... (2)

Let us apply Kirchoffs voltage law to the loop A-B-E-F-A :- 10 - 2i - 4 i2 -6 = 0   or i + 2 i2 = 2

since we have,  i = i1 + i2 ,  eqn.(1) is rewritten as,   i1 + 3 i2 = 2  ....................... (3)

if i2 = 0 , then from eqn.(3),  i1 = 2 A

if we substitute, i2 = 0 and i1 = 2 A  in eqn.(2), we get R = 1 Ω
Answered by Expert 22nd July 2019, 7:12 PM
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 10

You have rated this answer 10/10

Tags: resistance