An electric heater of resistance 50 Ω uses a current of 3 A. Determine the heat generated in 20 seconds.
9000 J
The heat generated by an electric heater can be calculated using the formula for electrical power and the relationship between power, time, and energy.
1. Calculate the power (P) consumed by the heater:
Power (P) is given by the formula \(P = I^2R\), where:
- \(I\) is the current (in Amperes)
- \(R\) is the resistance (in Ohms)
In this case, \(I = 3 A\) and \(R = 50 Ω\).
Therefore, \(P = (3 A)^2 \times 50 Ω = 9 A^2 \times 50 Ω = 450 W\).
2. Calculate the heat (energy, E) generated:
The energy (E) generated is given by the formula \(E = Pt\), where:
- \(P\) is the power (in Watts)
- \(t\) is the time (in seconds)
We have \(P = 450 W\) and \(t = 20 s\).
Therefore, \(E = 450 W \times 20 s = 9000 J\).
Therefore, the heat generated in 20 seconds is 9000 J.
Similar Questions
Two resistors, one of 12 Ω and the other of 24 Ω, are connected in parallel. This combination is connected in series with a 22 Ω resistor and a 12 V battery. The current in 24 Ω resistor is:
If an electric load draws a current of 2 A for 1 second, then calculate the number of electrons (with charge 1.6 × 10⁻¹⁹ C) passing through the load.
How is a voltmeter connected in a circuit to measure potential difference?
A voltmeter with a resistance of 10,000 ohms is connected across a circuit that has a voltage of 50 V. What is the current flowing through the voltmeter?
An electric lamp with a resistance of 35 ohms and a conductor with a resistance of 6 ohms are connected to an 8 V battery in series. Calculate the current flowing through the circuit.
The ______ across the ends of a resistor is directly proportional to the current through it, provided its temperature remains the same.
Which of the following gives the correct relation between power ‘P’, resistance ‘R’ and charge ‘Q’ flowing through a wire in ‘t’ seconds?
The given symbol stands for a/an _________ in an electric circuit.
Two resistors of R Ω and 15 Ω are connected in parallel to get an effective resistance of 12 Ω. Find R.
Which of the following correctly describes the direction of electric current?
Important Questions from Current Electricity
Which of the following is a bad conductor of electricity?
In general, in an alternating current circuit
The laws of electromagnetic induction have been used in the construction of a
A 220 volt and 100 watt bulb is connected to a 110 volt source. The power consumption by the bulb is
In the series combination of resistance in current electricity, which of the following is correct?
