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Charge q on a capacitor varies with the voltage v as shown in the figure where Axis taken along the axis and v along the y axis the energy stored in the capacitor when the capacitor is charged to 3 micro coulomb?
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Charge q on a capacitor varies with the voltage v as shown in the figu...
Energy stored in a capacitor
When a capacitor is charged, it stores electrical energy in its electric field. The amount of energy stored in a capacitor can be calculated using the formula:
E = 1/2 * C * V^2
Where:
- E is the energy stored in the capacitor
- C is the capacitance of the capacitor
- V is the voltage across the capacitor
Variation of charge with voltage
In the given figure, we can see that the charge on the capacitor (q) varies with the voltage (V) across the capacitor. As the voltage increases, the charge on the capacitor also increases. This relationship can be represented by the equation:
q = C * V
Where:
- q is the charge on the capacitor
- C is the capacitance of the capacitor
- V is the voltage across the capacitor
Determining the energy stored in the capacitor
To determine the energy stored in the capacitor when it is charged to 3 microcoulombs, we need to know the capacitance of the capacitor and the voltage across it.
Step 1: Determine the capacitance of the capacitor
The capacitance of the capacitor should be given in the problem or provided in the figure. Let's assume the capacitance is C microfarads.
Step 2: Determine the voltage across the capacitor
From the figure, we can see that when the charge on the capacitor is 3 microcoulombs, the corresponding voltage is V volts.
Step 3: Calculate the energy stored in the capacitor
Using the formula E = 1/2 * C * V^2, we can substitute the values of C and V to calculate the energy stored in the capacitor.
E = 1/2 * (C * V)^2
Substituting the given values, we have:
E = 1/2 * (3 * 10^-6 C * V)^2
Simplifying the equation further, we get the final value of the energy stored in the capacitor.
Conclusion
The energy stored in a capacitor can be determined using the formula E = 1/2 * C * V^2, where E is the energy, C is the capacitance, and V is the voltage across the capacitor. By knowing the charge (q) on the capacitor and using the relationship q = C * V, we can determine the energy stored in the capacitor when it is charged to a specific value.
When a capacitor is charged, it stores electrical energy in its electric field. The amount of energy stored in a capacitor can be calculated using the formula:
E = 1/2 * C * V^2
Where:
- E is the energy stored in the capacitor
- C is the capacitance of the capacitor
- V is the voltage across the capacitor
Variation of charge with voltage
In the given figure, we can see that the charge on the capacitor (q) varies with the voltage (V) across the capacitor. As the voltage increases, the charge on the capacitor also increases. This relationship can be represented by the equation:
q = C * V
Where:
- q is the charge on the capacitor
- C is the capacitance of the capacitor
- V is the voltage across the capacitor
Determining the energy stored in the capacitor
To determine the energy stored in the capacitor when it is charged to 3 microcoulombs, we need to know the capacitance of the capacitor and the voltage across it.
Step 1: Determine the capacitance of the capacitor
The capacitance of the capacitor should be given in the problem or provided in the figure. Let's assume the capacitance is C microfarads.
Step 2: Determine the voltage across the capacitor
From the figure, we can see that when the charge on the capacitor is 3 microcoulombs, the corresponding voltage is V volts.
Step 3: Calculate the energy stored in the capacitor
Using the formula E = 1/2 * C * V^2, we can substitute the values of C and V to calculate the energy stored in the capacitor.
E = 1/2 * (C * V)^2
Substituting the given values, we have:
E = 1/2 * (3 * 10^-6 C * V)^2
Simplifying the equation further, we get the final value of the energy stored in the capacitor.
Conclusion
The energy stored in a capacitor can be determined using the formula E = 1/2 * C * V^2, where E is the energy, C is the capacitance, and V is the voltage across the capacitor. By knowing the charge (q) on the capacitor and using the relationship q = C * V, we can determine the energy stored in the capacitor when it is charged to a specific value.
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Charge q on a capacitor varies with the voltage v as shown in the figure where Axis taken along the axis and v along the y axis the energy stored in the capacitor when the capacitor is charged to 3 micro coulomb?
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Charge q on a capacitor varies with the voltage v as shown in the figure where Axis taken along the axis and v along the y axis the energy stored in the capacitor when the capacitor is charged to 3 micro coulomb? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Charge q on a capacitor varies with the voltage v as shown in the figure where Axis taken along the axis and v along the y axis the energy stored in the capacitor when the capacitor is charged to 3 micro coulomb? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Charge q on a capacitor varies with the voltage v as shown in the figure where Axis taken along the axis and v along the y axis the energy stored in the capacitor when the capacitor is charged to 3 micro coulomb?.
Charge q on a capacitor varies with the voltage v as shown in the figure where Axis taken along the axis and v along the y axis the energy stored in the capacitor when the capacitor is charged to 3 micro coulomb? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Charge q on a capacitor varies with the voltage v as shown in the figure where Axis taken along the axis and v along the y axis the energy stored in the capacitor when the capacitor is charged to 3 micro coulomb? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Charge q on a capacitor varies with the voltage v as shown in the figure where Axis taken along the axis and v along the y axis the energy stored in the capacitor when the capacitor is charged to 3 micro coulomb?.
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