Respuesta :
Answer:
(a). The power output by a light bulb is [tex]4.00\times10^{-6}\ watt[/tex].
(b). The power output is increase.
Explanation:
Given that,
Magnetic field = 10 mT
Radius = 50 cm
Angular velocity = 5 rev/s
Resistance = 15 kΩ
We need to calculate the area
Using formula of area
[tex]A=\pi r^2[/tex]
[tex]A=\pi\times(50\times10^{-2})^2[/tex]
[tex]A=0.78\ m^2[/tex]
(a). We need to calculate the power output by a light bulb
Using formula of power
[tex]P=\dfrac{E^2}{R}[/tex]
[tex]P=\dfrac{BA\omega}{R}[/tex]
Put the value into the formula
[tex]P=\dfrac{(10\times10^{-3}\times0.78\times5\times2\pi)^2}{15\times10^{3}}[/tex]
[tex]P=0.00000400\ watt[/tex]
[tex]P=4.00\times10^{-6}\ watt[/tex]
(b). We need to calculate the power output increase or decrease if we decrease the resistance of the light-bulb
If we decrease the resistance of the light bulb then the power output will be increase. Because the power output is inversely proportional to the resistance.
Hence, (a). The power output by a light bulb is [tex]4.00\times10^{-6}\ watt[/tex].
(b). The power output will be increase.
