n identical cells each of e.m.f. E and internal resistance r are connected in series. An external resistance R is connected in series to this combination. The current through R is
Total e.m.f. = nE, Total resistance R + nr ⇒
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n identical cells each of e.m.f. E and internal resistance r are connected in series. An external resistance R is connected in series to this combination. The current through R is
Total e.m.f. = nE, Total resistance R + nr ⇒
Two identical cells send the same current in 2 Ω resistance, whether connected in series or in parallel. The internal resistance of the cell should be
In series ,
In parallel,
Since ⇒ ⇒
Two non-ideal identical batteries are connected in parallel. Consider the following statements :
(i) The equivalent e.m.f. is smaller than either of the two e.m.f.s
(ii) The equivalent internal resistance is smaller than either of the two internal resistances
Because and
The number of dry cells, each of e.m.f. 1.5 volt and internal resistance 0.5 ohm that must be joined in series with a resistance of 20 ohm so as to send a current of 0.6 ampere through the circuit is
In series
⇒ ⇒ n = 10
For driving a current of 2 A for 6 minutes in a circuit, 1000 J of work is to be done. The e.m.f. of the source in the circuit is
⇒
Four identical cells each having an electromotive force (e.m.f.) of 12V, are connected in parallel. The resultant electromotive force (e.m.f.) of the combination is :
In parallel combination
The internal resistance of a cell of e.m.f. 12V is . It is connected across an unknown resistance. The voltage across the cell, when a current of 60 A is drawn from it, is :
= = 9V.
A battery is charged at a potential of 15 V for 8 hours when the current flowing is 10 A. The battery on discharge supplies a current of 5 A for 15 hours. The mean terminal voltage during discharge is 14 V. The "Watt-hour" efficiency of the battery is :
Watt-hour efficiency
A capacitor is connected to a cell of emf E having some internal resistance r. The potential difference across the
In the given case cell is in open circuit (i = 0) so voltage across the cell is equal to its e.m.f.
The maximum power drawn out of the cell from a source is given by (where r is internal resistance)
⇒ ⇒
Power is maximum when r = R ⇒
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