A student set up three different types of circuits as shown in the following circuit diagrams, he observed that the heat produced in the resistor or combination of resistors connected to a 12 V battery will be
Answers
Explanation:
general, if the power consumed would depend on the circuit structure and for a simple case, such as two resistors connected in series versus the same resistors connected in parallel (with identical voltage sources in both), the power dissipated in the parallel combination will be greater.
For example, suppose that both resistors have the same value of resistance R.
Now, if the two resistors are connected in series, the equivalent resistance is
R
series
=2R.
But, if the two resistors are connected in parallel, the equivalent resistance is
R
parallel
=
2
R
.
Thus, the power for the series combination is: P
series
=
2
1
R
V
2
Whilst the power for the parallel combination is: P
parallel
=2
R
V
2
The parallel combination dissipates 4 times the power of the series combination.
hence third diagram is a parallel circuit and dissipates more energy than the series circuits in diagram 1 and 2
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