Two cells, having the same emf, are connected in series through an external resistance R. Cells have internal resistances r1 and r2 (r1 > r2) respectively. When the circuit is closed, the potential difference across the first cell is zero, The value of R is
A.
Current in the circuit is given by Ohm's law.
Net resistance of the circuit =
Net emf in series = E + E = 2E
Therefore, from Ohm's law, current in the circuit.
It is given that, as circuit is closed, potential difference across the first cell is zero. That is,
Equating Eqs. (i) and (ii), we get
Kirchhoff's first and second laws for electrical circuits are consequences of
conservation of energy
conservation of electric charge and energy respectively
conservation of electric charge
conservation of electric charge
A potentiometer is an accurate and versatile device to make electrical measurements of E.M.F, because the method involves :
Cells
Potential gradients
A condition of no current flow through the galvanometer
A condition of no current flow through the galvanometer
The resistance of a wire is ‘R’ ohm. If it is melted and stretched to ‘n’ times its original length, its new resistance will be
nR
R/n
n2R
n2R
A carbon resistor of (47 ± 4.7) kΩ is to be marked with rings of different colours for its identification. The colour code sequence will be
Violet – Yellow – Orange – Silver
Yellow – Violet – Orange – Silver
Green – Orange – Violet – Gold
Yellow – Green – Violet – Gold
A set of 'n' equal resistors, of value 'R' each, are connected in series to a battery of emf 'E' and internal resistance 'R'. The current drawn is I. Now, the 'n' resistors are connected in parallel to the same battery. Then the current drawn from battery becomes 10 I. The value of 'n' is
10
11
9
20
A battery consists of a variable number 'n' of identical cells (having internal resistance 'r' each) which are connected in series. The terminals of the battery are short-circuited and the current I is measured. Which of the graphs shows the correct relationship between I and n?
You are given resistance wire of length 50 cm and a battery of negligible resistance. In which of the following cases is the largest amount of heat generated?
When the wire is connected to the battery directly
When the wire is divided into two parts and both the parts are connected to the battery in parallel.
When the wire is divided into four parts and all the four parts are connected to the battery in parallel.
When only half of the wire is connected to the battery
When a voltmeter connected across the terminals of cell, measures 5 V and an ammeter connected measures 10 A. A resistance of 2 Ω is connected across the terminal of the cell. The current flowing through this resistance is
7.5amp
5.0amp
2.5amp
2.0amp
In a neon discharge tube 2.9 x 10 Ne18 ions move to be the right per second while 1.2 x 108 electron move to the left per second electric charge is 1.6 x 10-19C. The current in discharge tube is
0.66A towards left
0.66 A towards left
1A towards right
Zero