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What capacitance is required to store energy of 10 kW.hat a potential difference of1000V?

Short Answer

Expert verified

The capacitance required to store energy of 10 kW.h is 72 F.

Step by step solution

01

The given data

a) The potential difference,V=1000 V .

b) Energy is stored in the capacitor, U =10 kW.h.

02

Understanding the concept of the energy stored in the capacitor

We use the relation of energy stored in the capacitor to find the capacitance C of the capacitor. We need to convert the given energy into joules.

Formula:

The energy stored by the capacitor is given by, U=12CV2 (i)

03

Calculation of the value of capacitance

The equation of the capacitance can be calculated using the given values in equation (i) as follows:

C=2UV2

Let’s convert the given value of energy in joules as:

U=10kW.h×103W1kW×3600s1h=10×103×3.6×103W.s=3.6×107W.s=3.6×107J

Substituting all values in (a), we get the value of capacitance as:

C=23.6×107J1000V2=7.2×107J106V2=72F

Hence, the value of the capacitance is 72 F.

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