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Is instantaneous current in a metallic wire is i=(5+10 t) then amount of charge flowing through it from t=2 s to = 3s is?
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Is instantaneous current in a metallic wire is i=(5+10 t) then amount...
Calculation of Charge Flow in Metallic Wire
1. Given Data:
- Instantaneous current in the metallic wire is given by i = (5 + 10t) A, where t is the time in seconds.
2. Finding Charge Flow:
- To find the amount of charge flowing through the wire from t = 2s to t = 3s, we need to calculate the total charge by integrating the current over the given time interval.
- The total charge Q flowing through a wire is given by the formula: Q = ∫i dt
- Substituting the given current expression into the formula, we get: Q = ∫(5 + 10t) dt
- Integrating the expression with respect to time gives: Q = 5t + 5t^2 + C, where C is the constant of integration.
3. Calculating Charge Flow from t = 2s to t = 3s:
- To calculate the total charge flow from t = 2s to t = 3s, we substitute the time values into the integrated expression.
- Q(3) - Q(2) = (5*3 + 5*3^2) - (5*2 + 5*2^2)
= (15 + 45) - (10 + 20)
= 60 - 30
= 30 Coulombs.
4. Conclusion:
- The amount of charge flowing through the metallic wire from t = 2s to t = 3s is 30 Coulombs.
1. Given Data:
- Instantaneous current in the metallic wire is given by i = (5 + 10t) A, where t is the time in seconds.
2. Finding Charge Flow:
- To find the amount of charge flowing through the wire from t = 2s to t = 3s, we need to calculate the total charge by integrating the current over the given time interval.
- The total charge Q flowing through a wire is given by the formula: Q = ∫i dt
- Substituting the given current expression into the formula, we get: Q = ∫(5 + 10t) dt
- Integrating the expression with respect to time gives: Q = 5t + 5t^2 + C, where C is the constant of integration.
3. Calculating Charge Flow from t = 2s to t = 3s:
- To calculate the total charge flow from t = 2s to t = 3s, we substitute the time values into the integrated expression.
- Q(3) - Q(2) = (5*3 + 5*3^2) - (5*2 + 5*2^2)
= (15 + 45) - (10 + 20)
= 60 - 30
= 30 Coulombs.
4. Conclusion:
- The amount of charge flowing through the metallic wire from t = 2s to t = 3s is 30 Coulombs.
Community Answer
Is instantaneous current in a metallic wire is i=(5+10 t) then amount...
Is the answer 30 coulomb??
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Is instantaneous current in a metallic wire is i=(5+10 t) then amount of charge flowing through it from t=2 s to = 3s is?
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Is instantaneous current in a metallic wire is i=(5+10 t) then amount of charge flowing through it from t=2 s to = 3s is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Is instantaneous current in a metallic wire is i=(5+10 t) then amount of charge flowing through it from t=2 s to = 3s is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is instantaneous current in a metallic wire is i=(5+10 t) then amount of charge flowing through it from t=2 s to = 3s is?.
Is instantaneous current in a metallic wire is i=(5+10 t) then amount of charge flowing through it from t=2 s to = 3s is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Is instantaneous current in a metallic wire is i=(5+10 t) then amount of charge flowing through it from t=2 s to = 3s is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is instantaneous current in a metallic wire is i=(5+10 t) then amount of charge flowing through it from t=2 s to = 3s is?.
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