A 40 microfarad capacitor in charged to 3000 volt the energy stored in...
A 40 microfarad capacitor in charged to 3000 volt the energy stored in...
Calculation of Energy Stored in the Capacitor:
Given:
- Capacitance (C) = 40 microfarads = 40 x 10^(-6) F
- Voltage (V) = 3000 volts
The energy stored in a capacitor can be calculated using the formula:
E = 0.5 x C x V^2
Substituting the given values:
E = 0.5 x (40 x 10^(-6)) x (3000)^2
E = 0.5 x 40 x 10^(-6) x 9000000
E = 0.5 x 36 x 10^(-3)
E = 18 millijoules (mJ)
Calculation of Power Delivered to the Patient:
Given:
- Pulse duration (t) = 2 minutes = 2 x 60 seconds = 120 seconds
Power (P) is the rate at which energy is transferred. It can be calculated using the formula:
P = E / t
Substituting the given values:
P = 18 mJ / 120 seconds
P = (18 x 10^(-3)) / 120
P = 0.15 x 10^(-3)
P = 0.15 milliwatts (mW)
Conversion of Power to Kilowatts:
To convert milliwatts to kilowatts, we divide the power value by 1000.
P = 0.15 mW / 1000
P = 0.00015 watts (W)
Since the options given are in kilowatts, we further convert watts to kilowatts by dividing the power value by 1000.
P = 0.00015 W / 1000
P = 0.00000015 kilowatts (kW)
Answer:
The power delivered to the patient is 0.00000015 kilowatts (kW), which can be rounded to 0.0000002 kilowatts (kW). Therefore, none of the options provided (45 kW, 90 kW, 180 kW, 360 kW) are correct.