A photographic flash unit consists of a xenon filled tube....

A photographic flash unit consists of a xenon filled tube. It gives a flash of average power $2000 \mathrm{~W}$ for $0.04 \mathrm{~s}$. The fash is due to discharge of a fully charged capacitor of $40 \mu \mathrm{F}$. The voltage to which it is charged before a flash is given by the unit is a. $1500 \mathrm{~V}$ b. $2000 \mathrm{~V}$ c. $2500 \mathrm{~V}$ d. $3000 \mathrm{~V}$

A photographic flash unit consists of a xenon filled tube. It gives a flash of average power $2000 \mathrm{~W}$ for $0.04 \mathrm{~s}$. The fash is due to discharge of a fully charged capacitor of $40 \mu \mathrm{F}$. The voltage to which it is charged before a flash is given by the unit is
a. $1500 \mathrm{~V}$
b. $2000 \mathrm{~V}$
c. $2500 \mathrm{~V}$
d. $3000 \mathrm{~V}$

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Key Concepts

Energy Stored in a Capacitor

The energy stored in a capacitor is given by the formula E = 1/2 CV², where C is the capacitance and V is the voltage. This concept is critical in various applications where capacitors are used to store electrical energy, which can then be rapidly discharged to produce high power outputs in a short time period.

Relationship Between Power, Energy, and Time

Power is defined as the rate at which energy is transferred or converted, mathematically represented as P = Energy/Time. This relationship is essential for determining how much energy is delivered over a given time period, which is particularly relevant in devices where a brief high-power burst is required, such as photographic flash units.

Capacitor Discharge in High-Power Devices

In many electronic devices like photographic flash units, the stored energy in a capacitor is rapidly discharged to produce a brief but intense burst of energy. Understanding how the energy stored in the capacitor translates into power over a short duration is crucial for designing and analyzing devices that require controlled, high-energy discharges.

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