Electrical Power and Cost Calculation Quiz

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Questions and Answers

What is the submultiple unit of power that is 1-thousandth of a watt?

  • Microwatt
  • Megawatt
  • Milliwatt (correct)
  • Kilowatt

In the context of electric power, which equation represents the relationship between work and time?

  • Power = work / time (correct)
  • Work = power / time
  • Power = work + time
  • Work = power × time

What is the unit commonly used for large amounts of electrical work or energy?

  • Kilowatt
  • Kilowatt hour (kWh) (correct)
  • Megawatt
  • Milliwatt

How is electric cost calculated for an air conditioner operating at 220 volts and 15 amperes?

<p>$3300 \text{ watts} \times 15 \text{ amperes}$ (D)</p> Signup and view all the answers

What is the formula to calculate power in electric systems?

<p>$P = V \times I$ (A)</p> Signup and view all the answers

What is the equivalent of 1 million watts in standard form?

<p>$10^6$ W (B)</p> Signup and view all the answers

What is the resistance of a device that dissipates 1.2 kW of power when its current is 10 A?

<p>120 $ ext{ } m{ ext{Ohm}}$ (D)</p> Signup and view all the answers

How much current does a 960 W coffeemaker draw from the 120 V power line?

<p>6 A (B)</p> Signup and view all the answers

What is the resistance of a 20 W, 12 V halogen lamp?

<p>72 $ ext{ } m{ ext{Ohm}}$ (D)</p> Signup and view all the answers

In choosing a resistor for a circuit, what is the recommended maximum power dissipation in relation to its power rating?

<p>Never more than 50% (A)</p> Signup and view all the answers

In a circuit where a resistor has a 54 V IR drop and a current of 20 mA, what is the resistance of the resistor?

<p>2.7 $ ext{ } m{ ext{kOhm}}$ (C)</p> Signup and view all the answers

If a circuit has a power dissipation of 100 W with a current of 5 A, what is the voltage across the circuit?

<p>20 V (D)</p> Signup and view all the answers

What is the cost of using a 450-W microwave for 2 hours if the electricity rate is ₺0.08/kWh?

<p>₺1.44 (D)</p> Signup and view all the answers

A 60-W light bulb is used for 5 hours per day for a month at ₺0.09/kWh. What is the total cost of using this light bulb for the month?

<p>₺4.86 (A)</p> Signup and view all the answers

If a device operates at 120 W and runs for 8 hours a day at a cost of ₺0.06/kWh, what is the daily cost of operating this device?

<p>₺6.72 (A)</p> Signup and view all the answers

What is the total cost of using a computer that consumes 250 W of power for 4 hours per day at a rate of ₺0.10/kWh for a month?

<p>₺7.20 (B)</p> Signup and view all the answers

If a device with a power rating of 90 W runs for 6 hours a day, how much does it cost to operate it for a week at an electricity rate of ₺0.05/kWh?

<p>₺4.32 (C)</p> Signup and view all the answers

A refrigerator consumes 400 W of power and runs for 24 hours a day at a rate of ₺0.12/kWh. What is the monthly cost of operating this refrigerator?

<p>₺115.20 (B)</p> Signup and view all the answers

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Study Notes

Electrical Power Units

  • Milliwatt (mW): One-thousandth of a watt (1 mW = 0.001 W)
  • Kilowatt (kW): One thousand watts (1 kW = 1000 W)
  • Megawatt (MW): One million watts (1 MW = 1,000,000 W)

Power and Work Relationship

  • Power (P) is the rate at which work (W) is done over time (t)
  • Formula: P = W / t

Electrical Work and Energy

  • Kilowatt-hour (kWh): A unit of energy, equivalent to the amount of energy used by a 1 kW device operating for one hour.

Electrical Cost Calculation

  • Cost Calculation: Cost = Power (kW) × Time (hours) × Rate (₺/kWh)
    • Example: Air conditioner operating at 220 volts and 15 amperes:
      • Power (kW) = (Voltage × Current) / 1000 = (220 × 15) / 1000 = 3.3 kW
      • Cost (assuming a rate of ₺0.08/kWh) = 3.3 kW × Time (hours) × ₺0.08/kWh

Power Calculation in Electrical Systems

  • Formula: P = V × I
    • Where:
      • P = Power (watts)
      • V = Voltage (volts)
      • I = Current (amperes)

Resistance Calculation

  • Formula: R = V²/P
    • Where:
      • R = Resistance (ohms)
      • V = Voltage (volts)
      • P = Power (watts)

Power Dissipation in Resistors

  • Recommended Maximum Power Dissipation: Ideally, choose a resistor with a power rating at least twice the expected power dissipation in the circuit.

Calculating Current

  • Formula: I = P/V
    • Where:
      • I = Current (amperes)
      • P = Power (watts)
      • V = Voltage (volts)

Electrical Cost Calculations

  • General Calculation: Cost = Power (kW) × Time (hours) × Rate (₺/kWh)
  • Example: Microwave (450 W) running for 2 hours at a rate of ₺0.08/kWh
    • Cost = (450 W / 1000) × 2 hours × ₺0.08/kWh = ₺0.072
  • Another Example: Light bulb (60 W) used for 5 hours per day for a month (30 days) at a rate of ₺0.09/kWh
    • Total Cost = (60 W / 1000) × 5 hours/day × 30 days × ₺0.09/kWh = ₺0.81
  • Calculating Daily Cost: Device (120 W) operating for 8 hours a day at a rate of ₺0.06/kWh
    • Daily Cost = (120 W / 1000) × 8 hours × ₺0.06/kWh = ₺0.0576
  • Calculating Monthly Cost: Computer (250 W) used for 4 hours per day at a rate of ₺0.10/kWh for a month
    • Monthly Cost = (250 W / 1000) × 4 hours/day × 30 days × ₺0.10/kWh = ₺30
  • Weekly Operating Cost: Device (90 W) running for 6 hours per day at a rate of ₺0.05/kWh
    • Weekly Cost = (90 W / 1000) × 6 hours/day × 7 days × ₺0.05/kWh = ₺0.189
  • Monthly Operating Cost: Refrigerator (400 W) running 24 hours a day at a rate of ₺0.12/kWh
    • Monthly Cost = (400 W / 1000) × 24 hours/day × 30 days × ₺0.12/kWh = ₺34.56

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