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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)6.8V
- b)11.3V
- c)9.47V
- d)12.62V
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The current in a 2.2 kΩ resistor isi(t)=5 sin(2π×100t+4...
Vm = Im×R
= 5mA × 2.2kΩ = 11V
∴ 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
= 5mA × 2.2kΩ = 11V
∴ 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 isi(t)=5 sin(2π×100t+4...
The current in a 2.2 k resistor can be calculated using Ohm's Law, which states that the current flowing through a conductor is equal to the voltage across the conductor divided by the resistance of the conductor.
If we assume that the voltage across the resistor is known, we can use the formula:
Current = Voltage / Resistance
In this case, the resistance is given as 2.2 k (2.2 kiloohms), which is equivalent to 2200 ohms.
Let's say the voltage across the resistor is 5 volts. Using the formula, we can calculate the current as:
Current = 5 volts / 2200 ohms = 0.00227 amps
Therefore, the current in a 2.2 k resistor with a voltage of 5 volts is approximately 0.00227 amps.
If we assume that the voltage across the resistor is known, we can use the formula:
Current = Voltage / Resistance
In this case, the resistance is given as 2.2 k (2.2 kiloohms), which is equivalent to 2200 ohms.
Let's say the voltage across the resistor is 5 volts. Using the formula, we can calculate the current as:
Current = 5 volts / 2200 ohms = 0.00227 amps
Therefore, the current in a 2.2 k resistor with a voltage of 5 volts is approximately 0.00227 amps.
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The current in a 2.2 kΩ resistor isi(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8Vb)11.3Vc)9.47Vd)12.62VCorrect answer is option 'C'. Can you explain this answer?
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The current in a 2.2 kΩ resistor isi(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8Vb)11.3Vc)9.47Vd)12.62VCorrect 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 isi(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8Vb)11.3Vc)9.47Vd)12.62VCorrect 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 isi(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8Vb)11.3Vc)9.47Vd)12.62VCorrect answer is option 'C'. Can you explain this answer?.
The current in a 2.2 kΩ resistor isi(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8Vb)11.3Vc)9.47Vd)12.62VCorrect 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 isi(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8Vb)11.3Vc)9.47Vd)12.62VCorrect 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 isi(t)=5 sin(2π×100t+45)mA. What is the instantaneous value of resistor voltage at t = 0.4ms?a)6.8Vb)11.3Vc)9.47Vd)12.62VCorrect answer is option 'C'. Can you explain this answer?.
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