Math / Algebra

QuestionProblem 8. An e.m.f. of 250 V is connected across a resistance and the current flowing through the resistance is 4 A . What is the power developed? Ans. 1 kW.

Studdy Solution

STEP 1

1. The electromotive force (e.m.f) is 250 volts (V).
2. The current flowing through the resistance is 4 amperes (A).
3. We need to find the power developed in the circuit.
4. Power can be calculated using the formula $P = VI$ , where $P$ is power, $V$ is voltage, and $I$ is current.

STEP 2

1. Identify the known values and the formula needed.
2. Substitute the known values into the formula.
3. Calculate the power.
4. Convert the power into kilowatts if necessary.

STEP 3

Identify the known values and the formula needed.
- Known values: - Voltage ( $V$ ) = 250 V - Current ( $I$ ) = 4 A
- Formula for power ( $P$ ): $P = VI$

STEP 4

Substitute the known values into the formula.
$P = 250 \, \text{V} \times 4 \, \text{A}$

STEP 5

Calculate the power.
$P = 250 \times 4 = 1000 \, \text{W}$

STEP 6

Convert the power into kilowatts if necessary.
Since $1 \, \text{kW} = 1000 \, \text{W}$ , we have:
$P = 1000 \, \text{W} = 1 \, \text{kW}$
The power developed is:
$\boxed{1 \, \text{kW}}$

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QuestionProblem 8. An e.m.f. of 250 V is connected across a resistance and the current flowing through the resistance is 4 A . What is the power developed? Ans. 1 kW.

Studdy Solution

STEP 1

1. The electromotive force (e.m.f) is 250 volts (V).
2. The current flowing through the resistance is 4 amperes (A).
3. We need to find the power developed in the circuit.
4. Power can be calculated using the formula $P = VI$ , where $P$ is power, $V$ is voltage, and $I$ is current.

STEP 2

1. Identify the known values and the formula needed.
2. Substitute the known values into the formula.
3. Calculate the power.
4. Convert the power into kilowatts if necessary.

STEP 3

Identify the known values and the formula needed.
- Known values: - Voltage ( $V$ ) = 250 V - Current ( $I$ ) = 4 A
- Formula for power ( $P$ ): $P = VI$

STEP 4

Substitute the known values into the formula.
$P = 250 \, \text{V} \times 4 \, \text{A}$

STEP 5

Calculate the power.
$P = 250 \times 4 = 1000 \, \text{W}$

STEP 6

Convert the power into kilowatts if necessary.
Since $1 \, \text{kW} = 1000 \, \text{W}$ , we have:
$P = 1000 \, \text{W} = 1 \, \text{kW}$
The power developed is:
$\boxed{1 \, \text{kW}}$

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QuestionProblem 8. An e.m.f. of 250 V is connected across a resistance and the current flowing through the resistance is 4 A . What is the power developed? Ans. 1 kW.

Studdy Solution

STEP 1

1. The electromotive force (e.m.f) is 250 volts (V).2. The current flowing through the resistance is 4 amperes (A).3. We need to find the power developed in the circuit.4. Power can be calculated using the formula P=VI P = VI P=VI, where P P P is power, V V V is voltage, and I I I is current.

STEP 2

1. Identify the known values and the formula needed.2. Substitute the known values into the formula.3. Calculate the power.4. Convert the power into kilowatts if necessary.

STEP 3

Identify the known values and the formula needed.- Known values: - Voltage (V V V) = 250 V - Current (I I I) = 4 A- Formula for power (P P P): P=VI P = VI P=VI

STEP 4

Substitute the known values into the formula.P=250 V×4 A P = 250 \, \text{V} \times 4 \, \text{A} P=250V×4A

STEP 5

Calculate the power.P=250×4=1000 W P = 250 \times 4 = 1000 \, \text{W} P=250×4=1000W

STEP 6

Convert the power into kilowatts if necessary.Since 1 kW=1000 W 1 \, \text{kW} = 1000 \, \text{W} 1kW=1000W, we have:P=1000 W=1 kW P = 1000 \, \text{W} = 1 \, \text{kW} P=1000W=1kWThe power developed is:1 kW \boxed{1 \, \text{kW}} 1kW​

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1. The electromotive force (e.m.f) is 250 volts (V).
2. The current flowing through the resistance is 4 amperes (A).
3. We need to find the power developed in the circuit.
4. Power can be calculated using the formula $P = VI$ , where $P$ is power, $V$ is voltage, and $I$ is current.

1. Identify the known values and the formula needed.
2. Substitute the known values into the formula.
3. Calculate the power.
4. Convert the power into kilowatts if necessary.

Identify the known values and the formula needed.
- Known values: - Voltage ( $V$ ) = 250 V - Current ( $I$ ) = 4 A
- Formula for power ( $P$ ): $P = VI$

Substitute the known values into the formula.
$P = 250 \, \text{V} \times 4 \, \text{A}$

Calculate the power.
$P = 250 \times 4 = 1000 \, \text{W}$

Convert the power into kilowatts if necessary.
Since $1 \, \text{kW} = 1000 \, \text{W}$ , we have:
$P = 1000 \, \text{W} = 1 \, \text{kW}$
The power developed is:
$\boxed{1 \, \text{kW}}$