please answer this please please
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it is board exam question
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snehadubey529:
Um isn't P = VI ? Even if you change the different I to V/R shouldn't the formula be P = V^2/R
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V = 3V
Let resistors are R¹ = R² = 12Ω each
1). Minimum resistance is when resistors are connected in parallel arrangements
Therefore,
1/R = 1/R¹ + 1/R²
1/R = 1/12 + 1/12
1/R = 2/12
1/R = 1/6
So, R = 6Ω
Equivalent resistance is 6Ω
P = V² / R
P = 3² / 6
P = 9 / 6
P = 3 / 2
So, P_2 = 1.5 W
2). Maximum resistance is when the resistors are connected in series arrangements
Therefore,
R = R¹ + R²
R = 12 + 12
So, R = 24Ω
Equivalent resistance is 24Ω
P = V² / R
P = 3² / 24
P = 9 / 24
P = 3 / 8
So, P_1 = 0.375
Ratio of P_1 & P_2 is
P_1 : P_2 = 1.5 : 0.375
P_1 : P_2 = 4 : 1
Hope this helps!
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