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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
13 Nov 2021

Given information

All have the same resistance
 
 
 
Voltage  
 
The current through each resistor before
 

  

  

    

and after closing the switch 

  

  

    

Qualitative predictions confirmed =?

 

Step-by-step explanation

Step 1.
Consider the network of resistors  ,  ,     and   with total current  is shown in the figure :
 
Case 1:
 
When the switch is open:
 
 and    are in parallel combined with in series.
 
The equivalent resistance is given by :
 
 
 
Current from the battery is given by :
 
   
 
Since there are increases in current   and 
 
  because in series connection with the battery 
 
 

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