Question

Problem 22c

Answer 1

Given information

Given Data :

 

Assuming three resistors    as   ,   and and internal resistance  is connected to a battery .  

 

The terminal voltage of the battery when the switch  is opened after having been closed for a long time    

 

 

Step-by-step explanation

Step 1.

Consider three resistors  , and are as shown in the figure :

 

Using the concept of  parallel and series resistance of a resistor :

 

Case 1:

 

When the switch is closed :

 

From Figure, The equivalent resistance is given by :

 

 

 

Case 2:

 

When the switch is opened:

 

From Figure, The equivalent resistance is given by :

 

 

 

 

By Comparing Equation (1) and (2) of equivalent resistance it is clear that equivalent resistance increases when the switch is opened.