It has been proposed to use large inductors as energy storage devices.

How much electrical energy is converted to light and thermal energy by a light bulb with a power of 195 W in one day?

If the amount of energy calculated in part (a) is stored in an inductor in which the current is 85.0 A, what is the inductance?

energy= 195*secondsinaDay.

Energy= 1/2 L (85)^2

solve for L

To calculate the electrical energy converted to light and thermal energy by a light bulb in one day, we first need to determine the amount of time the light bulb is operating.

Let's assume the light bulb operates for 24 hours in a day (this may vary depending on the actual usage). The power of the light bulb is given as 195 W.

Power is defined as the rate at which energy is consumed or transferred. So, to calculate the energy consumed, we can multiply the power by the time:

Energy consumed = Power × Time

Plugging in the given values:

Energy consumed = 195 W × 24 hours

Now, we need to convert hours into seconds since power is expressed in watts, which is joules per second (J/s):

Energy consumed = 195 W × 24 hours × 3600 seconds/hour

Multiplying these values, we get:

Energy consumed = 1684800 J

So, the electrical energy converted to light and thermal energy by the light bulb with a power of 195 W in one day is approximately 1,684,800 joules.

Moving on to part (b):

If the energy calculated above is stored in an inductor with a current of 85.0 A, we can use the formula for the energy stored in an inductor to find the inductance:

Energy stored = (1/2) × L × I^2

Where L is the inductance in henries (H) and I is the current in amperes (A).

Plugging in the given values:

1684800 J = (1/2) × L × (85.0 A)^2

Now, let's solve for the inductance, L:

1684800 J = (1/2) × L × (85.0 A)^2
L × (85.0 A)^2 = 1684800 J × 2
L = (1684800 J × 2) / (85.0 A)^2

Calculating this expression, we can find the inductance.

Please note that the specific calculation for inductance requires additional information, such as the geometry and material of the inductor. The above calculation assumes an ideal inductor with no resistance or external factors.