Question:
In the circuit shown in the figure, the current through
In the circuit shown in the figure, the current through
Updated On: Jul 31, 2023
- the $3\Omega$ resistor is 0.50 A
- the $3\Omega$ resistor is 0.25 A
- the $4\Omega$ resistor is 0.50 A
- the $4\Omega$ resistor is 0.25 A
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The Correct Option is D
Solution and Explanation
Net resistance of the circuit is $9\Omega.$
$\therefore$ Current drawn from the battery. = current through $3\Omega$ resistor
Potential difference between A and B is
$V_A-V_B=9-1(3+2)=4V=8i_1$
$\therefore i_1=0.5A$
$\therefore i_2=1-i_1=0.5A$
Similarly, potential difference between C and D
$V_C-V_D=(V_A-V_B)-i_2(2+2)$
$4-4i_2=4-4(0.5)=2V=8i_3$
$\therefore i_3=0.25A$
Therefore, $i_4=i_2-i_3=0.5-0.25$
$i_4=0.25A$
$\therefore$ Current drawn from the battery. = current through $3\Omega$ resistor
Potential difference between A and B is
$V_A-V_B=9-1(3+2)=4V=8i_1$
$\therefore i_1=0.5A$
$\therefore i_2=1-i_1=0.5A$
Similarly, potential difference between C and D
$V_C-V_D=(V_A-V_B)-i_2(2+2)$
$4-4i_2=4-4(0.5)=2V=8i_3$
$\therefore i_3=0.25A$
Therefore, $i_4=i_2-i_3=0.5-0.25$
$i_4=0.25A$
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Current electricity is defined as the flow of electrons from one section of the circuit to another.
Types of Current Electricity
There are two types of current electricity as follows:
Direct Current
The current electricity whose direction remains the same is known as direct current. Direct current is defined by the constant flow of electrons from a region of high electron density to a region of low electron density. DC is used in many household appliances and applications that involve a battery.
Alternating Current
The current electricity that is bidirectional and keeps changing the direction of the charge flow is known as alternating current. The bi-directionality is caused by a sinusoidally varying current and voltage that reverses directions, creating a periodic back-and-forth motion for the current. The electrical outlets at our homes and industries are supplied with alternating current.