Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

two cells of EMF E1 and E2 and internal resistance R1 and R2 are connected in parallel between the points A and B deduce the expression for the equivalent emf of the combination

two cells of EMF E1 and E2 and internal resistance R1 and R2 are connected in parallel between the points A and B deduce the expression for the equivalent emf of the combination

Grade:12

2 Answers

Arun
25763 Points
3 years ago
 
Given,
Emf of first cell = E1 
Emf of second cell = E
Internal resistances of two cell are r1 and r2 respectively. 
Load resistance = R 

Effective emf is given by, Eeff = E1r1 + E2 r2r1 + r2  

Effective internal resistance, reff = r1 r2r1 + r2 

Now, the total resistance of the circuit would be the sum of load resistance and effective internal resistance. 

             Rtotal = R + reff = R + r1r2r1+r2 
Current through the load will be the same as the current through the circuit. 
Thus, 
I = EeffRtotal  = E1r1 + E2r2r1 +r2R+ r1r2r1 + r2 = E1r1 + E2 r2R(r1+r2) + r1r2 

which is the required expression for the current through the load.
Kushagra Madhukar
askIITians Faculty 629 Points
11 months ago
Dear student,
Please find the answer to your question.
 
Given, Emf of first cell = E1 
Emf of second cell = E2 
Internal resistances of two cell are r1 and r2 respectively. 
Load resistance = R 
Effective emf is given by, Eeff = E1r1 + E2 r2r1 + r2  
Effective internal resistance, reff = r1 r2r1 + r2 
Now, the total resistance of the circuit would be the sum of load resistance and effective internal resistance. 
 
Rtotal = R + reff = R + r1r2r1+r2 
Current through the load will be the same as the current through the circuit. 
Thus, 
I = EeffRtotal  = E1r1 + E2r2r1 +r2R+ r1r2r1 + r2 = E1r1 + E2 r2R(r1+r2) + r1r2
which is the required expression for the current through the load
 
Thanks and regards,
Kushagra

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free