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Capacitance of a conductor is 1muF. What...

Capacitance of a conductor is `1muF`. What charge is required to raise its potential to `100 V`?

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To find the charge required to raise the potential of a conductor to a certain voltage, we can use the formula that relates capacitance (C), charge (Q), and voltage (V): \[ Q = C \times V \] ### Step-by-Step Solution: 1. **Identify the given values:** - Capacitance (C) = 1 microfarad (µF) - Voltage (V) = 100 volts (V) 2. **Convert capacitance to standard units:** - 1 microfarad (µF) = \( 1 \times 10^{-6} \) farads (F) - Therefore, \( C = 1 \times 10^{-6} \, \text{F} \) 3. **Substitute the values into the formula:** - Using the formula \( Q = C \times V \): \[ Q = (1 \times 10^{-6} \, \text{F}) \times (100 \, \text{V}) \] 4. **Calculate the charge:** \[ Q = 1 \times 10^{-6} \times 100 = 1 \times 10^{-4} \, \text{C} \] 5. **Convert the charge to microcoulombs:** - Since \( 1 \, \text{C} = 10^{6} \, \mu\text{C} \): \[ Q = 1 \times 10^{-4} \, \text{C} = 100 \, \mu\text{C} \] ### Final Answer: The charge required to raise the potential of the conductor to 100 V is **100 microcoulombs (µC)**.

To find the charge required to raise the potential of a conductor to a certain voltage, we can use the formula that relates capacitance (C), charge (Q), and voltage (V): \[ Q = C \times V \] ### Step-by-Step Solution: 1. **Identify the given values:** - Capacitance (C) = 1 microfarad (µF) ...
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