The Value of R such that same amount of heat is dissipated in R and rest of the circuit
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Explanation:
Let Re be the equivalent resistance of the circuit.
since , 3 Ohm and 5 Ohm are in series connection.
So,
Rs =(3+5) Ohm.
=> Rs= 8 Ohm. .........………….......................{1}
Now, 8 Ohm and Rs are in parallel combination.
So,
1/Re =1/8 + 1/Rs
=>1/Re=1/8 + 1/8. [ Using {1} ]
=>1/Re=2/8
=>Re= 8/2
=>Re= 4 Ohm. ……............................................{2}
R =Re= 4Ohm. Answer
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