Question

In: Physics

How would the voltage waveform across the cap look like if we were to increase the...

How would the voltage waveform across the cap look like if we were to increase the resistance from 5 Ω to e.g. 50 Ω, 100 Ω or higher? Explain what is the physical process leading to this outcome.

Solutions

Expert Solution

According to Ohm's law-

V = IR

I - current flowing through the element

R - resistance

V - voltage across the element

Considering the current to be constant and increasing resistance as per your question, magnitude of voltage will increase in proportion. Say if earlier voltage waveform was sinusoidal it will remain sinusoidal but with increased amplitude for smaller values of resistances.

Note - cap is nothing but showing amplitude

Physical Phenomena

On the other prospective, increasing resistance heat losses will also increase as -

H = I2 R t

where t - time for which current is allowed to flow

More energy will be lost in the form of heat.

Hence on increasing the resistance beyond limit, cap of the waveform will start distorting its initial shape due to heat losses.

As question is containing many meanings , comment regarding any discrepancy or if something is left unanswered. Thanks....


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