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A 60 micro farad capacitor is charged to 100volts. This charged capacitor is connected across a 1.5mH coil, so that LC oscillation occur. The maximum current in the coil is A) 1.5A B) 2A C) 15A D) 20A?
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A 60 micro farad capacitor is charged to 100volts. This charged capaci...
Calculation of LC Oscillation Frequency
The first step in determining the maximum current in the coil is to calculate the frequency of LC oscillation. This can be done using the formula:
f = 1/(2π√(LC))
where f is the frequency, L is the inductance of the coil, and C is the capacitance of the capacitor.
Given that the capacitance of the capacitor is 60 micro farads and the inductance of the coil is 1.5mH, we can substitute these values into the formula to obtain:
f = 1/(2π√(60 x 10^-6 x 1.5 x 10^-3)) = 3.18kHz
Calculation of Maximum Current
The maximum current in the coil can be calculated using the formula:
Imax = Vmax/√(L/C)
where Imax is the maximum current, Vmax is the maximum voltage across the capacitor, L is the inductance of the coil, and C is the capacitance of the capacitor.
Given that the capacitor is charged to 100 volts, we can substitute this value along with the values of L and C into the formula to obtain:
Imax = 100/√(1.5 x 10^-3/60 x 10^-6) = 15A
Therefore, the maximum current in the coil is 15A.
Answer: C) 15A
The first step in determining the maximum current in the coil is to calculate the frequency of LC oscillation. This can be done using the formula:
f = 1/(2π√(LC))
where f is the frequency, L is the inductance of the coil, and C is the capacitance of the capacitor.
Given that the capacitance of the capacitor is 60 micro farads and the inductance of the coil is 1.5mH, we can substitute these values into the formula to obtain:
f = 1/(2π√(60 x 10^-6 x 1.5 x 10^-3)) = 3.18kHz
Calculation of Maximum Current
The maximum current in the coil can be calculated using the formula:
Imax = Vmax/√(L/C)
where Imax is the maximum current, Vmax is the maximum voltage across the capacitor, L is the inductance of the coil, and C is the capacitance of the capacitor.
Given that the capacitor is charged to 100 volts, we can substitute this value along with the values of L and C into the formula to obtain:
Imax = 100/√(1.5 x 10^-3/60 x 10^-6) = 15A
Therefore, the maximum current in the coil is 15A.
Answer: C) 15A
Community Answer
A 60 micro farad capacitor is charged to 100volts. This charged capaci...
1/2 LI^2=1/2CV^2
1.5×10^-3×I^2=60×10^-6×100×100
I^2=60×10^-2÷1.5×10^-3
I^2 =40×10
I=20A
1.5×10^-3×I^2=60×10^-6×100×100
I^2=60×10^-2÷1.5×10^-3
I^2 =40×10
I=20A
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A 60 micro farad capacitor is charged to 100volts. This charged capacitor is connected across a 1.5mH coil, so that LC oscillation occur. The maximum current in the coil is A) 1.5A B) 2A C) 15A D) 20A?
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A 60 micro farad capacitor is charged to 100volts. This charged capacitor is connected across a 1.5mH coil, so that LC oscillation occur. The maximum current in the coil is A) 1.5A B) 2A C) 15A D) 20A? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A 60 micro farad capacitor is charged to 100volts. This charged capacitor is connected across a 1.5mH coil, so that LC oscillation occur. The maximum current in the coil is A) 1.5A B) 2A C) 15A D) 20A? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 60 micro farad capacitor is charged to 100volts. This charged capacitor is connected across a 1.5mH coil, so that LC oscillation occur. The maximum current in the coil is A) 1.5A B) 2A C) 15A D) 20A?.
A 60 micro farad capacitor is charged to 100volts. This charged capacitor is connected across a 1.5mH coil, so that LC oscillation occur. The maximum current in the coil is A) 1.5A B) 2A C) 15A D) 20A? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A 60 micro farad capacitor is charged to 100volts. This charged capacitor is connected across a 1.5mH coil, so that LC oscillation occur. The maximum current in the coil is A) 1.5A B) 2A C) 15A D) 20A? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 60 micro farad capacitor is charged to 100volts. This charged capacitor is connected across a 1.5mH coil, so that LC oscillation occur. The maximum current in the coil is A) 1.5A B) 2A C) 15A D) 20A?.
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