An alternating voltage V -140 sin 50 t in Volts is applied to a resistor of resistance 10 - This voltage produces - H heat in the resistor in time interval - t- To produce the same amount of heat in the same time interval- required DC current is approximately equal to A- 14 AB- 20 AC- 10 AD- 0 A

The correct option is C 10 AV = 140 sin (50t) Current i =140/10 sin (50t) maximum curent i_m = 14 A DC current necessary to generate same amount of heat as ...

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Byju's Answer

Standard XII

Physics

Phasor Diagrams in AC Circuits

An alternatin...

Question

An alternating voltage $V = 140 s i n (50 t)$ (in Volts) is applied to a resistor of resistance $10$ $Ω$ . This voltage produces $Δ$ $H$ heat in the resistor in time interval $Δ$ $t$ . To produce the same amount of heat in the same time interval, required DC current is approximately equal to

14 A

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20 A

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10 A

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0 A

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Solution

The correct option is C $10 A$
$V = 140 s i n (50 t)$
Current $i = \frac{140}{10} s i n (50 t) maximum curent i_{m} = 14 A$

DC current necessary to generate same amount of heat as in AC circuit is $i_{r m s}$
D.C current = r.m.s. current
$i_{r m s} = \frac{i_{m}}{\sqrt{2}} = \frac{14}{\sqrt{2}} = 9.89 A \approx 10 A$

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An alternating voltage V=140sin(50t) (in Volts) is applied to a resistor of resistance 10 Ω. This voltage produces ΔH heat in the resistor in time interval Δt. To produce the same amount of heat in the same time interval, required DC current is approximately equal to

The correct option is C 10 AV=140 sin(50t) Current i=14010 sin(50t)maximum curent im=14 A DC current necessary to generate same amount of heat as in AC circuit is irms D.C current = r.m.s. current irms=im√2=14√2=9.89 A ≈10 A

An alternating voltage $V = 140 s i n (50 t)$ (in Volts) is applied to a resistor of resistance $10$ $Ω$ . This voltage produces $Δ$ $H$ heat in the resistor in time interval $Δ$ $t$ . To produce the same amount of heat in the same time interval, required DC current is approximately equal to