I(I+n)= For the purpose, following three schemes (a), (b) and (c) are suggested. n (a) In this scheme, after closing the switch you have to vary resistance of the rheostat. The initial charge on the capacitance Co is qo and range of values of resistance of the rheostat is zero to Ro. Find the law R(t) according to which resistance of the rheostat should be changed with time. R(H) = Ro(1-/Rco) (b) In this scheme, a variable disk capacitor is connected across a fixed resistance R. After closing the switch, you have to vary the capacitance by rotating one of its plates. The initial value of capacitance is Co and charge on it is qo. Find the law C(t) according to which capacitance should be changed with time and corresponding angular velocity o(t) of one plate relative to the other. (c) In this scheme, a variable capacitor is used in which one plate can be shifted towards or away from the other fixed plate without changing overlap area. After closing the switch, you have to move the movable plate. The initial value of capacitance is Co and charge on it is qo- Find the law C(t) according to which capacitance and the distance x(t) between the plates should be changed with time. Co Ro Overlap Rotating ゆっ-。 Fixed Plate

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Chapter10: Direct-current Circuits
Section: Chapter Questions
Problem 94CP: Consider the circuit below, (a) What is the initial current through resistor R2? when the switch is...
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38. It is desired to keep current in discharge process of a capacitor constant.
2 Lo= I CItn)= For the purpose, following three schemes (a), (b) and (c) are suggested.
(a) In this scheme, after closing the switch you have to vary resistance
of the rheostat. The initial charge on the capacitance Co is qo and
44.
range of values of resistance of the rheostat is zero to Ro. Find the
law R(t) according to which resistance of the rheostat should be
changed with time. R(4) = Ro(1-t/Rco)
(b) In this scheme, a variable disk capacitor is connected across a fixed
resistance Ro. After closing the switch, you have to vary the
capacitance by rotating one of its plates. The initial value of
capacitance is Co and charge on it is qo. Find the law C(t) according
to which capacitance should be changed with time and corresponding
angular velocity @(t) of one plate relative to the other.
(c) In this scheme, a variable capacitor is used in which one plate can be
shifted towards or away from the other fixed plate without changing
overlap area. After closing the switch, you have to move the movable
plate. The initial value of capacitance is Co and charge on it is qo.
Find the law C(t) according to which capacitance and the distance
x(t) between the plates should be changed with time.
Co
%3D
go.
Co
Ro
Overlap
Rotating
Co
Fixed Plate
Ro
Transcribed Image Text:38. It is desired to keep current in discharge process of a capacitor constant. 2 Lo= I CItn)= For the purpose, following three schemes (a), (b) and (c) are suggested. (a) In this scheme, after closing the switch you have to vary resistance of the rheostat. The initial charge on the capacitance Co is qo and 44. range of values of resistance of the rheostat is zero to Ro. Find the law R(t) according to which resistance of the rheostat should be changed with time. R(4) = Ro(1-t/Rco) (b) In this scheme, a variable disk capacitor is connected across a fixed resistance Ro. After closing the switch, you have to vary the capacitance by rotating one of its plates. The initial value of capacitance is Co and charge on it is qo. Find the law C(t) according to which capacitance should be changed with time and corresponding angular velocity @(t) of one plate relative to the other. (c) In this scheme, a variable capacitor is used in which one plate can be shifted towards or away from the other fixed plate without changing overlap area. After closing the switch, you have to move the movable plate. The initial value of capacitance is Co and charge on it is qo. Find the law C(t) according to which capacitance and the distance x(t) between the plates should be changed with time. Co %3D go. Co Ro Overlap Rotating Co Fixed Plate Ro
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