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The current in a 2.2 kΩ resistor is i(t)=5 sin(2π×100t+45∘)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?
- a)6.8 V
- b)11.3 V
- c)9.47 V
- d)12.62 V
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The current in a 2.2 kΩ resistor is i(t)=5 sin(2π×100t+...
Vm = Im x R = 5mA x 2.2kΩ = 11 V
∴ v(t)=11 sin (2π×100t+45∘)V
At t=0.4ms, v=11 sin[2π×100]
(0.4×10-3)+45∘]V
=11sin (0.2513rad+45∘)
= 11 (14.4∘ + 45∘)
= 9.47 V
∴ v(t)=11 sin (2π×100t+45∘)V
At t=0.4ms, v=11 sin[2π×100]
(0.4×10-3)+45∘]V
=11sin (0.2513rad+45∘)
= 11 (14.4∘ + 45∘)
= 9.47 V
Most Upvoted Answer
The current in a 2.2 kΩ resistor is i(t)=5 sin(2π×100t+...
Given Data:
Resistance, R = 2.2 kΩ = 2200 Ω
Current, i(t) = 5 sin(2π×100t+45) mA
Time, t = 0.4 ms = 0.4×10^-3 s
Calculating Instantaneous Voltage:
The voltage across a resistor is given by Ohm's Law: V = i(t) * R
Substitute the given values:
V = 5 sin(2π×100×0.4×10^-3 + 45) * 2200
V = 5 sin(0.251327 + 45) * 2200
V = 5 sin(45.251327) * 2200
V = 5 * 0.7071 * 2200
V ≈ 9.47 V
Therefore, the instantaneous value of the resistor voltage at t = 0.4 ms is approximately 9.47 V. Hence, the correct answer is option C.
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The current in a 2.2 kΩ resistor is i(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8 Vb)11.3 Vc)9.47 Vd)12.62 VCorrect answer is option 'C'. Can you explain this answer?
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The current in a 2.2 kΩ resistor is i(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8 Vb)11.3 Vc)9.47 Vd)12.62 VCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The current in a 2.2 kΩ resistor is i(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8 Vb)11.3 Vc)9.47 Vd)12.62 VCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The current in a 2.2 kΩ resistor is i(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8 Vb)11.3 Vc)9.47 Vd)12.62 VCorrect answer is option 'C'. Can you explain this answer?.
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