Q1 (i) The switch S in the circuit shown in Figure 1.1 is in position A. Calculate the charge on the capacitor C and the energy stored. A В VB R VB = 60 V, C = 50 µF, R = 10 kN Figure 1.1 (ii) At time t = 0, S is moved to position B so the capacitor C is discharged through the resistor R. You may assume that in position B the current is given by I(t)= I,elt where the symbols have their usual meaning. Calculate: (a) the current through R at t = 0s. (b) the time constant. (c) the current through R whent = 0.75 s.

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Q1 (i)
The switch S in the circuit shown in Figure 1.1 is in position A. Calculate
the charge on the capacitor C and the energy stored.
A
В
VB
Vв %3D 60 V, С 3
50 µF, R = 10 kN
Figure 1.1
(ii)
At time t = 0, S is moved to position B so the capacitor C is discharged
through the resistor R. You may assume that in position B the current is
given by I(t)=I,e¯tlr where the symbols have their usual meaning.
Calculate:
(a)
the current through R at t = 0s.
(b)
the time constant.
(c)
the current through R when t = 0.75 s.
(d)
the time at which the voltage across C is 30V.
(e)
the time at which half of the initial energy stored on C
is dissipated in R.
Transcribed Image Text:Q1 (i) The switch S in the circuit shown in Figure 1.1 is in position A. Calculate the charge on the capacitor C and the energy stored. A В VB Vв %3D 60 V, С 3 50 µF, R = 10 kN Figure 1.1 (ii) At time t = 0, S is moved to position B so the capacitor C is discharged through the resistor R. You may assume that in position B the current is given by I(t)=I,e¯tlr where the symbols have their usual meaning. Calculate: (a) the current through R at t = 0s. (b) the time constant. (c) the current through R when t = 0.75 s. (d) the time at which the voltage across C is 30V. (e) the time at which half of the initial energy stored on C is dissipated in R.
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