Two conducting wires of same material and of equal lengths and diametes are first connected in series and then parallel in a given electric circuit.The ratio of heat produced in series and parallel combinations would be *
Answers
Answer:
1/4
Explanation:
Two conducting wires of the same material and of equal lengths and equal diameters are first connected in series and then in parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be :
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ANSWER
Since the two wires have same material, length and diameter, they have the same resistance. Let the resistance of each wire be R.
Let applied potential difference be V.
R
series
=R
1
+R
2
=R+R=2R
P
series
=V
2
/R
series
=V
2
/(2R)..........(i)
R
parallel
1
=
R
1
1
+
R
2
1
R
parallel
=R/2
P
parallel
=V
2
/R
parallel
=2V
2
/R............(ii)
Dividing (ii) from (i),
P
parallel
P
series
=1/4