11. Practice
Draw the schematic diagram of an
electric circuit consisting of a battery
of two cells of
1.5V each, three resistance of 5 ohm,
10 ohm and 15 ohm respectively and
a plug key all connected in series.
23. Comparing the flow of Electric current
in wire with the flow of water in hose.
•When pressure is high, the flow
of water is high and vice versa.
•When there is a presence of kink,
then the flow of water is low and
vice versa.
24. •Then, with respect to electric
current,
•When the potential difference is
high, the flow of current is high.
and vice versa.
•Then,
•𝑉 ∝ 𝐼
25. • When there is a presence of resistor,
then the current decreases and vice
versa.
• Then,
• 𝑅 ∝
1
𝐼
, 𝐼 =
1
𝑅
• Combining these two equations we
get,
• 𝐼 =
𝑉
𝑅
, 𝑜𝑟 𝑉 = 𝐼𝑅 Which we call it as
Ohm’s law.
26. Rheostat
The device used to regulate current without
changing the voltage source is called
variable resistance
27.
28.
29. Ohm’s law
The potential difference , V, across the ends
of a given metallic wire in an electric circuit is
directly proportional to the current, I, flowing
through it, provided the temperature is same
V I
V / I = Constant = Resistance (R)
V= I R
35. Problems
1.The potential difference required to pass a
current 0.2 A in a wire of resistance 20 ohm is
_________.
i)100 V ii) 4 V iii) 0.01 V iv) 40 V
Answer = ?
36. Question
• 2.How much current will an
electric bulb draw from a 220
v source. If the resistance of
the bulb filament is 1200
ohm?
37. Answer
• We are given
• V = 220V;
• R=1200 ohm.
• From equation I=V/R
• I=220 V/1200 ohm = 0.18 A
38. Question
3.How much current will an
electric heater coil draw
from a 220 V source, if the
resistance of the heater coil
is 100 ohm?
39. Answer
We are given,
V=220 V, R=100 ohm.
From the equation I=V/R
I=220V /100 ohm = 2.2A.
Note : The difference of current drawn by
an electric bulb and electric heater from
the same 220V source!
40. Question
4. The potential difference
between the terminals of an
electric heater is 60 V when it
draws a current of 4 A from the
source. What current will the
heater draw if the potential
difference is increased to 120V?
41. Answer
We are given, potential difference V=60V, Current I=4A.
According to Ohm’s law,
R=V/I
=60V / 4A
=15ohm.
When the potential difference is increased by 120V, the
current is given by,
Current = V/R
=120V / 15 ohm
=8A.
The current through the heater becomes 8A.
42. Current and Resistance relation
Current is inversely proportional to
Resistance
Think:
If the resistance is doubled, the Current will
be halved.
43. Resistance (R)
Property of conductor to resist the flow of charges
through it.
S.I unit of Resistance = ohm (Ω)
R = V / I
ohm
47. Factors on Which Resistance depends on
Depend on Area of cross section
48. Factors on Which Resistance depends on
Depends on Type of material
Nichrome wire is connected
49. RESISTANCE DEPENDS ON
1.Length of the conductor
2.Area of cross section of the conductor
3.Nature of material of the conductor
4.Temperature of material of the
conductor
50.
51.
52. RESISTANCE , RESISTIVITY Vs Temperature
Both Resistance and Resistivity of the
material depend on Temperature
Resistance of all pure metals increases
with increase in temperature
But the resistance of alloys such as
Manganin, Nichrome is almost
unaffected by temperature
54. Problems
• Q1,Resistance of a metal
wire of length 1m is 26 ohm.
If the diameter of the wire is
0.3mm, what will be the
resistivity of the metal at the
temperature?
55. Answer
We are given the resistance R of the wire =
26ohm, the diameter d=0.3mm = 3x10-4m.and
the length l of the wire = 1m.
Therefore the resistivity of the given metallic
wire is
𝜌 =
𝑅𝐴
𝑙
= R𝜋𝑑2
/4𝑙
Substituting the values in this gives
𝜌=1.84x10-6 Ohm m
The resistivity of the metal at is 1084x10-6 ohm
m.
56. Question
A wire of given material having
length l and area of cross section
A has a resistance of 4 ohm.
What would be the resistance of
another wire of the same material
having length l/2 and area of
cross section 2A?
57. Answer
For first wire,
R1 = 𝜌 l/A= 4ohm
Now for second wire,
R2 =𝜌(l/2)/2A= ¼ 𝜌 l/A.
R2 = ¼ R1
R2 = 1ohm.
The resistance of the new wire is 1 ohm.
58. Question
A wire of resistance 2 ohm
is stretched to double its
length. What is the new
resistance of the wire?
What is the change in
resistivity of the wire?
59. Answer
When the length of the wire is doubled, still its
volume remains constant.
Volume before stretching = A1l1
Volume after stretching =A2l2
Since volume is constant
A1 l1 = A2 l2
Given l2 = 2l1
Therefore,
A1 l1=A2 x 2l1
A1=2A2
A2=A1 / 2
60. So, when the length is doubled, the
area of cross section is reduced by
½.
So the new resistance would be
RI = 𝜌l2/A2 = 𝜌 2l2/(A1/2) = 4 𝜌 l2/A1
RI = 4x2 R
RI = 8R.
61. Question
The electric resistance of a certain wire of iron is R. If
its length and radius are both double, then
a) The resistance will be doubled and the specific
resistance will be halved.
b) The resistance will be halved and the specific
resistance will remain unchanged.
c) The resistance will be halved and the specific
resistance will be doubled.
d) The resistance and the specific resistance will
both remain unchanged.