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Three 250 watt heaters are connrcted in parallel to 100 v supply calculate the total current taken from the supply .?the reasistance of each heater .? The energy supplied in kwh to the three heaters in 5 hours .?
Most Upvoted Answer
Three 250 watt heaters are connrcted in parallel to 100 v supply calcu...
P=250W,
V=100V,
I=?,
in parallel connection Vremain same,
let the current following in conductor=I=I1=I2=I3,
P=VI,
I=P/V=2.5A,
Now R=?,
R=V²/P=(100)²/250=40ohm,
energy in KWh=?,
t=5hr,
Total energy supplied=250(3)=750W,
In KWh E=750×t/1000=3.75KWh
V=100V,
I=?,
in parallel connection Vremain same,
let the current following in conductor=I=I1=I2=I3,
P=VI,
I=P/V=2.5A,
Now R=?,
R=V²/P=(100)²/250=40ohm,
energy in KWh=?,
t=5hr,
Total energy supplied=250(3)=750W,
In KWh E=750×t/1000=3.75KWh
Community Answer
Three 250 watt heaters are connrcted in parallel to 100 v supply calcu...
Total Current
To calculate the total current, we can use Ohm's Law, which states that the current flowing through a conductor is equal to the voltage across the conductor divided by the resistance of the conductor. Since the heaters are connected in parallel, the voltage across each heater is the same as the supply voltage.
Formula:
I = V/R
Given:
Supply voltage (V) = 100 V
Power rating of each heater (P) = 250 W
Calculating Resistance:
Since power is given, we can use the formula P = V^2/R to calculate the resistance.
Formula:
R = V^2/P
Calculating Total Current:
Since the heaters are connected in parallel, the total current is the sum of the individual currents through each heater.
Formula:
Total Current (I_total) = I1 + I2 + I3
Calculating Energy Supplied:
The energy supplied to the heaters can be calculated using the formula E = P * t, where E is the energy in watt-hours (Wh), P is the power in watts (W), and t is the time in hours (h). In this case, the time is given as 5 hours.
Formula:
Energy (E) = P * t
Calculating in Detail:
1. Calculating Resistance:
- R = V^2/P
- R = (100^2)/(250)
- R = 40 ohms
2. Calculating Total Current:
- I_total = I1 + I2 + I3
- I_total = V/R + V/R + V/R
- I_total = (100/40) + (100/40) + (100/40)
- I_total = 2.5 + 2.5 + 2.5
- I_total = 7.5 A
3. Calculating Energy Supplied:
- Energy (E) = P * t
- Energy (E) = 250 * 5
- Energy (E) = 1250 Wh
Summary:
- The total current taken from the supply is 7.5 A.
- Each heater has a resistance of 40 ohms.
- The energy supplied to the three heaters in 5 hours is 1250 watt-hours (Wh).
To calculate the total current, we can use Ohm's Law, which states that the current flowing through a conductor is equal to the voltage across the conductor divided by the resistance of the conductor. Since the heaters are connected in parallel, the voltage across each heater is the same as the supply voltage.
Formula:
I = V/R
Given:
Supply voltage (V) = 100 V
Power rating of each heater (P) = 250 W
Calculating Resistance:
Since power is given, we can use the formula P = V^2/R to calculate the resistance.
Formula:
R = V^2/P
Calculating Total Current:
Since the heaters are connected in parallel, the total current is the sum of the individual currents through each heater.
Formula:
Total Current (I_total) = I1 + I2 + I3
Calculating Energy Supplied:
The energy supplied to the heaters can be calculated using the formula E = P * t, where E is the energy in watt-hours (Wh), P is the power in watts (W), and t is the time in hours (h). In this case, the time is given as 5 hours.
Formula:
Energy (E) = P * t
Calculating in Detail:
1. Calculating Resistance:
- R = V^2/P
- R = (100^2)/(250)
- R = 40 ohms
2. Calculating Total Current:
- I_total = I1 + I2 + I3
- I_total = V/R + V/R + V/R
- I_total = (100/40) + (100/40) + (100/40)
- I_total = 2.5 + 2.5 + 2.5
- I_total = 7.5 A
3. Calculating Energy Supplied:
- Energy (E) = P * t
- Energy (E) = 250 * 5
- Energy (E) = 1250 Wh
Summary:
- The total current taken from the supply is 7.5 A.
- Each heater has a resistance of 40 ohms.
- The energy supplied to the three heaters in 5 hours is 1250 watt-hours (Wh).
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Three 250 watt heaters are connrcted in parallel to 100 v supply calculate the total current taken from the supply .?the reasistance of each heater .? The energy supplied in kwh to the three heaters in 5 hours .? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Three 250 watt heaters are connrcted in parallel to 100 v supply calculate the total current taken from the supply .?the reasistance of each heater .? The energy supplied in kwh to the three heaters in 5 hours .? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three 250 watt heaters are connrcted in parallel to 100 v supply calculate the total current taken from the supply .?the reasistance of each heater .? The energy supplied in kwh to the three heaters in 5 hours .?.
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