324 identical galvanic cell, each of internal resistance 9 ohms several in series group of cells connected in parallel the arrangement has been laid out so that power output and externally connected resistance of 4 ohm is maximum .if n cells are connected in every series group that form parallel combination then the value of n is
Answers
Explanation:
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324 identical galvanic cells, each of internal resistance 9 ohm are arranged as several in series, groups of cell connected in parallel The arrangement has been laid out so that power output in an externally connected resistance of value 4 ohm is maximum. If n cells are connected in every series group that form parallel combination, then find value of n.
- July 05, 2019
Question :
324 identical galvanic cells, each of internal resistance 9 ohm are arranged as several in series, groups of cell connected in parallel The arrangement has been laid out so that power output in an externally connected resistance of value 4 ohm is maximum. If n cells are connected in every series group that form parallel combination, then find value of n.
Answer :
It is asked in question to find value of n such that power transfer to externally connected resistance of value 4 ohm is maximum.
According to maximum power transfer theorem, power transfer to external resistance (4 ohm) will be maximum when value of resistance of combination of 324 cells is equal to 4 ohm
i.e. Source resistance = load resistance
In above image n= Number of resistances in series
m=Number of resistance groups in parallel
Now, n cells are connected to each series group. So resistance of one series group is nR.
There are m parallel groups. So total resistance = nR/m.
Now for maximum power transfer nR/m = 4
And finally n=12.
So 12 resistances should be connected in each series group.
Answer : n=12
Answer:
The value of n of this problem will be n = 12.
Explanation:
The goal of the exercise is to determine the value of n at which the highest amount of power may be transferred to a 4 ohm externally linked resistance. The maximum power transfer theorem states that the maximum amount of power will be transferred to an external resistance of 4 ohms when the combined resistance of 324 cells is 4 ohm.
So, source resistance = load resistance.
Let n = the Number of resistances in series
And let m = Number of resistance groups in parallel
Currently, each series group is connected to n cells. Thus, nR is the resistance of one series group.
M parallel groups exist. Total resistance, therefore, equals nR/m.
Now, nR/m = 4 for maximal power transfer.
And n will be n = 12.
Thus, each series group needs 12 resistances connected.