5 resistors of 3 ohm ,5ohm, 7ohm, 5ohm and 10 ohm and battery of 1.5 volt calculate the equivalent resistance through A and B
Answers
Answer:
resistance between C and E - 3+7 = 10 ohm
resistance C to E - 1/10 + 1/10 = 1/5 = 5ohm
resistance between A and B = 5+5+5 = 15 ohm
Answer:
The equivalent resistance of the 5Ω, 10Ω, 30Ω resistors connected in parallel is
R
p
1
=
5
1
+
10
1
+
30
1
=
30
6+3+1
=
30
10
∴R
p
=3Ω
∴, the total resistance of the given circuit is 3 Ohms.
The total current can be calculated using the Ohm's law as the value of voltage (V) is already given.
using Ohm's law
Voltage=Current×Resistance
⇒I=
R
V
=
3
12
=4A
Current through each resistor can be calculated by applying Ohm's law given that the voltage of the circuit and the individual resistances of each resistor is already given.
Current through 5Ω resistor =
R
V
=
5
12
=2.4A
Current through 10Ω resistor =
R
V
=
10
12
=1.2A
Current through 30Ω resistor =
R
V
=
30
12
=0.4A