If a resistor is connected across a battery and used for a longer time period, which of the following will increase, assuming current and resistance remain constant?
The total heat produced in the resistor
The heat produced in a resistor is given by Joule's law of heating, H = I2Rt.
With the current I and the resistance R held constant, H is directly proportional to the time t, so running the resistor for longer produces more heat.
Resistance is a property of the resistor, the potential difference V = IR stays the same, and the charge per unit time is the current itself, which is constant.
Hence, the answer is the total heat produced in the resistor.
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Important Questions from Current Electricity
- In a parallel combination of resistors, which of the following quantities remains the same across all the resistors?
- Which of the following statements is/are true for a domestic circuit?
(i) All the appliances are connected in parallel.
(ii) The live wire in the domestic circuit has green insulation on it.
(iii) A fuse connected to the circuit allows excessive current to pass through the appliances.
(iv) The neutral wire in the domestic circuits has black insulation on it. A science teacher asks students to measure the current through a bulb using an ammeter. What precaution must the students follow?
- Which characteristic of parallel circuits makes them advantageous over series circuits for connecting multiple electrical gadgets in a house?
- In a domestic electric circuit, the main purpose of a FUSE is ________.
