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Calculate the total resistance and voltage for a series circuit with R1=15Ω, R2=30Ω, R3=45Ω and I=1.5A. Also, find the energy consumed by a 100W bulb used for 8 hours.
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2 partsStep-by-step solution
4 stepsHere are the solutions to the problems.
** (Circuit with three resistors in series):**
Step 1: Calculate the total resistance of the series circuit.
Given resistors: , , .
For resistors connected in series, the total resistance () is the sum of the individual resistances:
Step 2: Calculate the total voltage applied to the circuit using Ohm's Law.
Given total current () = .
According to Ohm's Law, the total voltage () is given by:
The total voltage applied to the circuit is .
** (Electrical energy and power rating):**
Part a· 2 steps
How much electrical energy is consumed by the bulb in a day?
Identify the given power and time.
Power () of the light bulb = .
Time () of use per day = .Calculate the energy consumed.
Energy () is calculated as Power Time. To get the energy in kilowatt-hours (kWh), convert power from Watts to kilowatts.
The electrical energy consumed by the bulb in a day is .
Part b
An electric heater consumes 2 kWh of electrical energy in 2 hours. What is its power rating?
Identify the given energy and time.
Energy () consumed = .
Time () taken = .Calculate the power rating.
Power () is calculated as Energy divided by Time.
To express in Watts:
The power rating of the electric heater is .
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