Three resistance of 5 ohm 10 ohm 30 ohm connected in parallel with battery of 12 v what is a. Current passing through each resistance
b.total current of circuit
Equivalent of resistance of circuit
Answers
Explanation:
current passing through:
5 ohm= 12/5 =2.4
10ohm = 12/10 = 1.2
30 ohm = 12/30 = 0.4
Total current = 12/3
= 4 A
Equivalent resistance = 6+3+1/30
= 10/30 = 3ohm
Answer:
A ] 5Ω = 1.2 Ampere , 10Ω = 0.6 Ampere , 30Ω = 0.2 Ampere
B ] I = 2 Ampere
C ] R = 3Ω
CURRENT ELECTRICITY
GIVEN ;
» 3 RESISTANCE = 5Ω , 10Ω and 30Ω connected in Parallel.
» EMF OF CELL = 6 VOLT
A ] CURRENT THROUGH EACH RESISTOR .
» As ; all are connected in PARALLEL .. SO ; POTENTIAL DIFFERENCE ACROSS ALL RESISTORS IS SAME .
I¹ ( Current in 5Ω Resistor ) = V / R = 6 / 5 = 1.2 Ampere.
I² ( Current in 10Ω Resistor ) = V / R =
V / R = 6 / 10 = 0.6 Ampere
I³ ( Current in 30Ω Resistor ) = V / R =
V / R = 6 / 30 = 0.2 Ampere .
B ] TOTAL CURRENT IN CIRCUIT.
» Equivalent Resistance of 3 Resistors in Parallel is ;
1 / R = 1 / R¹ + 1 / R² + 1 / R³
= 1 / 5 + 1 / 10 + 1 / 30
= [6 + 3 + 1 / 30 ]
1 / R = 10 / 30
R = 30 / 10 = 3Ω .
[ TOTAL CURRENT ( I ) = V / R = 6 / 3 = 2 AMPERE ] .
C ] EFFECTIVE RESISTANCE
R = 3 Ω .