Answer:
The rms value of current flowing through the light bulb is 0.625 A
Explanation:
Given that,
Average power of a light bulb, P = 75 W
RMS value of voltage, [tex]V_{rms}=120\ V[/tex]
It is required to find the rms value of current flowing through a light bulb. The power of an electrical appliance is given by :
[tex]P=I_{rms}\times V_{rms}\\\\I_{rms}=\dfrac{P}{V_{rms}}\\\\I_{rms}=\dfrac{75\ W}{120\ V}\\\\I_{rms}=0.625\ A[/tex]
So, the rms value of current flowing through the light bulb is 0.625 A.
The rms current flowing through a light bulb will be "0.625 A". To understand the calculation, check below.
According to the question,
Bulb's average power, P = 75 W
Voltage's RMS value, [tex]V_{rms}[/tex] = 120 V
We know the relation,
Power, P = [tex]I_{rms}[/tex] × [tex]V_{rms}[/tex]
Or, the current be:
→ [tex]I_{rms}[/tex] = [tex]\frac{P}{V_{rms}}[/tex]
By substituting the values,
= [tex]\frac{75}{120}[/tex]
= 0.625 A
Thus the above answer is appropriate.
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