Alternating Current

A 60 µF capacitor is connected to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit.

Given data in the question can be listed as,

Capacitance , C = 60 µF = 0.000060 F

RMS Voltage ,Vrms = 110 V

Frequency, f = 60 Hz

Irms = ?

Capacitive reactance,

$https://latex.codecogs.com/svg.image?{X_{c}}^{} = \frac{1}{\omega C} = \frac{1}{2\pi fC}$

$https://latex.codecogs.com/svg.image?{X_{c}}^{} = \frac{1}{2x3.14x60x0.000060} = 44.23 ohm$

$https://latex.codecogs.com/svg.image?{I_{rms}}^{}= {V_{rms}}^{}/{X_{c}}^{}$

$https://latex.codecogs.com/svg.image?{I_{rms}}^{}=\frac{110}{44.23}= 2.5A$

The mass of the earth is 6 x 10²⁴ kg. The distance between the earth and the Sun is 1.5x 10¹¹ m. If the gravitational force between the two is 3.5 x 10²² N, what is the mass of the Sun?