Advertisements
Advertisements
प्रश्न
A cell of emf 'E' and internal resistance 'r' is connected across a variable resistor 'R'. Plot a graph showing variation of terminal voltage 'V' of the cell versus the current 'I'. Using the plot, show how the emf of the cell and its internal resistance can be determined.
Advertisements
उत्तर
Terminal voltage 'V' of the cell is V = E − Ir
E is the emf of the cell, r is the internal resistance of the cell and I is the current through the circuit.
So, V = −Ir+E
Comparing with the equation of a straight line y = mx+c, we get:
y = V; x = I; m = −r; c = E
Graph showing variation of terminal voltage 'V' of the cell versus the current 'I' is

Emf of the cell = Intercept on V axis
Internal resistance = slop of line.
APPEARS IN
संबंधित प्रश्न
Distinguish between emf and terminal voltage of a cell.
A battery of emf 10 V and internal resistance 3 Ω is connected to a resistor. If the current in the circuit is 0.5 A, what is the resistance of the resistor? What is the terminal voltage of the battery when the circuit is closed?
A secondary cell after long use has an emf of 1.9 V and a large internal resistance of 380 Ω. What maximum current can be drawn from the cell? Could the cell drive the starting motor of a car?
A long straight current carrying wire passes normally through the centre of circular loop. If the current through the wire increases, will there be an induced emf in the loop? Justify.
The equivalent resistance between points. a and f of the network shown in Figure 2 is :

a) 24 Ω
b) 110 Ω
c) 140 Ω
d) 200 Ω
Find the value of i1/i2 in the following figure if (a) R = 0.1 Ω (b) R = 1 Ω and (c) R = 10 Ω. Note from your answers that in order to get more current from a combination of two batteries, they should be joined in parallel if the external resistance is small and in series if the external resistance is large, compared to the internal resistance.

A battery of emf 100 V and a resistor of resistance 10 kΩ are joined in series. This system is used as a source to supply current to an external resistance R. If R is not greater than 100 Ω, the current through it is constant up to two significant digits.
Find its value. This is the basic principle of a constant-current source.
How many time constants will elapse before the power delivered by a battery drops to half of its maximum value in an RC circuit?
A plate of area 10 cm2 is to be electroplated with copper (density 9000 kg m−3) to a thickness of 10 micrometres on both sides, using a cell of 12 V. Calculate the energy spent by the cell in the process of deposition. If this energy is used to heat 100 g of water, calculate the rise in the temperature of the water. ECE of copper = 3 × 10−7 kg C−1and specific heat capacity of water = 4200 J kg−1.
Five cells each of emf E and internal resistance r send the same amount of current through an external resistance R whether the cells are connected in parallel or in series. Then the ratio `("R"/"r")` is:
