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Describe the behavior of the bulb in the two situations below.
i. The switch is first moved to position 1. Describe the behavior of the bulb from just after the switch is closed until a long time later. Explain.
ii. The switch is now moved to position 2. Describe the behavior of the bulb from just after the switch is closed until a long time later. Explain your reasoning.
(i)
The behavior of the bulb from just after the switch is closed until a long time later in the situation when the switch is first moved to position
Explanation of Solution
Introduction:
Consider the circuit shown in Figure 1.
Figure 1
The brightness of the bulb depends upon the current flowing through that bulb. The bulb will be brighter if the flow of current through that bulb is high. In other words, more current passes through less resistance that mean if the resistance is less then bulb will appear brighter.
The circuit diagram when the switch is at position
Figure 2
Initially, thecapacitor is short circuited and starts charging slowly. As thecurrent decays with respect to time, the bulb initially glows, but later it goes dimmer with time, and after a long time it stops glowing.
If it stops glowing, the capacitor comes in the open circuit condition and the current flow across it is zero.
Conclusion:
Therefore, the behavior of the bulb from just after the switch is closed until a long time later is described above.
(ii)
The behavior of the bulb from just after the switch is closed until a long time later in the situation when the switch is now moved to position
Explanation of Solution
Introduction:
The brightness of the bulb depends upon the current flowing through that bulb. The bulb will be brighter if the flow of current through that bulb is high. In other words, more current passes through less resistance that mean if the resistance is less then bulb will appear brighter.
The circuit diagram when the switch is at position
Figure 3
The capacitor voltage is equal to battery voltage at the initial stage.After this, capacitor startsdischarging and the currentdecays with time. So, blub glows bright initially, but thengoes dimmer with time, and after long timeit stops glowing.
If it stops glowing, the capacitor comes in the open circuit condition and the current flow across it is zero.
Conclusion:
Therefore, the behavior of the bulb from just after the switch is closed until a long time later is described above.
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