DC CIRCUITS AND
KIRCHHOFF LAWS
, Series Combination
Voltage
V1 V2 V3 Voltage is divided resistors
✓
.
among
in the ratio their resistances
of
- -
.
Ri Ri R}
Larger resistor consumes more
voltage
É and
R,
smaller consumes
R2
less .
300N
c.
g.
= 1005L : 500h Rs =
Vt R Ra Rs
if Vt=9V so
: :
,
100 :
500 :
300
Current 1 : 5 : 3
✓ It is same
everywhere in IV 5V 3V
series circuit irrespective sum all potential drops
of
-
a across
of the resistance .
resistors is
equal to EMF .
Vi = V1 + V2 + V3
✓
If one
of the resistors is
Resistance
replaced with another one
of a
different value a new Vt=V + V2 + V3 RT R, -1122+123
-
-
, ,
current will now
flow in IR
T T
=
IR -1112
1 I 2 2
+ IR
3 3 if all resistors are
The circuit .
as It = I, =
Iz = I} same Ri -
-
NR
,
I I, Iz I I Rt IIR , -1122+123 ) resistors
no
of
= = =
}
=
n : .
, Parallel combination
VT R2 •× Rs
←
I
-
q
J
Ii "
+ Ri
R,
T "
-2
→ Rz ✗ •
Ri • Y
T
-
→
3
Rz
"
É 123
Voltage : The
voltage across each resistor is
same irrespective of resistance as
all
of them are attached across
the same terminals .
Vt =
V1 V2=
V3 =
Current : Current in each resistor depends
the resistance resistor
upon of each
-
.
current
Layer resistor relieves less
and smaller reci even more .
KIRCHHOFF LAWS
, Series Combination
Voltage
V1 V2 V3 Voltage is divided resistors
✓
.
among
in the ratio their resistances
of
- -
.
Ri Ri R}
Larger resistor consumes more
voltage
É and
R,
smaller consumes
R2
less .
300N
c.
g.
= 1005L : 500h Rs =
Vt R Ra Rs
if Vt=9V so
: :
,
100 :
500 :
300
Current 1 : 5 : 3
✓ It is same
everywhere in IV 5V 3V
series circuit irrespective sum all potential drops
of
-
a across
of the resistance .
resistors is
equal to EMF .
Vi = V1 + V2 + V3
✓
If one
of the resistors is
Resistance
replaced with another one
of a
different value a new Vt=V + V2 + V3 RT R, -1122+123
-
-
, ,
current will now
flow in IR
T T
=
IR -1112
1 I 2 2
+ IR
3 3 if all resistors are
The circuit .
as It = I, =
Iz = I} same Ri -
-
NR
,
I I, Iz I I Rt IIR , -1122+123 ) resistors
no
of
= = =
}
=
n : .
, Parallel combination
VT R2 •× Rs
←
I
-
q
J
Ii "
+ Ri
R,
T "
-2
→ Rz ✗ •
Ri • Y
T
-
→
3
Rz
"
É 123
Voltage : The
voltage across each resistor is
same irrespective of resistance as
all
of them are attached across
the same terminals .
Vt =
V1 V2=
V3 =
Current : Current in each resistor depends
the resistance resistor
upon of each
-
.
current
Layer resistor relieves less
and smaller reci even more .