In the circuit given below, find the potential
difference between the points G and E.
Answers
Answer:
Potential difference across points G and E = 8V
Explanation:
First we need to find the resultant resistance of the circuit.
Formulas used :
Potential difference = Current x resistance. ( ohm's law)
For series combination of resistors :
R net = R1 + R2...
For parallel combination of resistors :
R net = [ 1/R1 + 1/R2 ...]^-1
Net resistance of CDA
= 4 + 4
= 8 ohms
Net resistance of CBA
= 4 + 4
= 8 ohms
Net resistance of CA
=[ 1/8 + 1/8]^-1
= [2/8]^-1
= 4 ohms -------------------(1)
Net resistance of AE
= 4 ohms ( since There is a single 4 ohm resistor in part AE) -------------------(2)
Similarly,
Net resistance of EFG
= 4 + 4
= 8 ohms
Net resistance of EHG
= 4 + 4
= 8 ohms
Net resistance of EG
=[ 1/8 + 1/8 ]^-1
= 4 ohms -----------(3)
Resultant resistance of the circuit
= (1) + (2) + (3)
= 4 + 4 + 4
= 12 ohms
We know that potential differences across the individual resistors of 4 ohms will add up to get 24V
Current flowing through the circuit ( I) = V / resultant resistance
= 24 / 12
= 2A
Potential difference across Point E and G = I x Net resistance of part EG.
= 2 x 4
= 8 volts
Answer:
The potential difference will be 8V
Explanation:
First we need to find the resultant resistance of the circuit.
Formulas used :
Potential difference = Current x resistance. ( ohm's law)
For series combination of resistors :
R net = R1 + R2...
For parallel combination of resistors :
R net = [ 1/R1 + 1/R2 ...]^-1
Net resistance of CDA
= 4 + 4
= 8 ohms
Net resistance of CBA
= 4 + 4
= 8 ohms
Net resistance of CA
=[ 1/8 + 1/8]^-1
= [2/8]^-1
= 4 ohms -------------------(1)
Net resistance of AE
= 4 ohms ( since There is a single 4 ohm resistor in part AE) -------------------(2)
Similarly,
Net resistance of EFG
= 4 + 4
= 8 ohms
Net resistance of EHG
= 4 + 4
= 8 ohms
Net resistance of EG
=[ 1/8 + 1/8 ]^-1
= 4 ohms -----------(3)
Resultant resistance of the circuit
= (1) + (2) + (3)
= 4 + 4 + 4
= 12 ohms
We know that potential differences across the individual resistors of 4 ohms will add up to get 24V
Current flowing through the circuit ( I) = V / resultant resistance
= 24 / 12
= 2A
Potential difference across Point E and G = I x Net resistance of part EG.
= 2 x 4
= 8 volts
Hope it help you...