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In the circuit shown below in Fig, calculate the value of x if the equivalent resistance between A and B is 4 Ω. - Physics

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Question

In the circuit shown below in Fig, calculate the value of x if the equivalent resistance between A and B is 4 Ω.

Numerical

Solution

r1 = 4 Ω

r2 = 8 Ω

r3 = x Ω

r4 = 5 Ω

Rs1 = r1+r2

= 4 + 8

= 12 Ω

Rs2 = r3 + r4

= x + 5 Ω

`1/"R" =1/"Rs"_1 + 1/"Rs"_2` 

`1/4 = 1/12 + 1/(5+x)` 

`1/6=1/(5+x)`

x = 1 Ω

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Chapter 8: Current Electricity - Exercise 8 (B) 3 [Page 201]

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Selina Physics [English] Class 10 ICSE
Chapter 8 Current Electricity
Exercise 8 (B) 3 | Q 12 | Page 201
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