the efficiency of a cell when connected to a resistance R is 60%.What will be its efficiency if the external resistance is increased by six times.
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efficiency of a cell (n) = (useful power)/ (total power produced)
then, if
r = internal resistance of the cell
R = external resistance
I = current produced by the cell
n = R / (r + R)
0.6 = R / (r + R)
0.6r + 0.6R = R
R = 1.5r
therefore, when R becomes 6 times of its original value then new efficiency n2
n^2 = 6R /(6R + r)
n^2 = (6*1.5 r) / ((6*1.5 r )+ r)
n^2 = 9 r / 10 r
n^2 = 0.9 or 90%
then, if
r = internal resistance of the cell
R = external resistance
I = current produced by the cell
n = R / (r + R)
0.6 = R / (r + R)
0.6r + 0.6R = R
R = 1.5r
therefore, when R becomes 6 times of its original value then new efficiency n2
n^2 = 6R /(6R + r)
n^2 = (6*1.5 r) / ((6*1.5 r )+ r)
n^2 = 9 r / 10 r
n^2 = 0.9 or 90%
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