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Multiple choice physics kirchhoff's law circuit problems kirchoff's law and problems on it equivalent resistance in series and parallel connection

State whether given statement is True or False
The sum of all the voltage drops around a single closed loop in a circuit is zero.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Kirchhoff's Second Law – The Voltage Law, (KVL)
Kirchhoff's Voltage Law or KVL, states that “in any closed loop network, the total voltage around the loop is equal to the sum of all the voltage drops within the same loop” which is also equal to zero. In other words the algebraic sum of all voltages within the loop must be equal to zero. This idea by Kirchhoff is known as the Conservation of Energy.
Multiple choice physics kirchhoff's law circuit problems kirchoff's law and problems on it equivalent resistance in series and parallel connection

Between any two points in a circuit, the sum of all .............. is the same through any pathway.

  1. charge

  2. current

  3. potential difference

  4. resistance
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Kirchhoff's voltage law says that if we add up all the voltage drops that occur around the loop, the total will be equal to the total voltage applied across the loop.hence between any two point in the circuit , the sum of all the voltage drops is the same through any pathway.

Multiple choice physics kirchhoff's law circuit problems kirchoff's law and problems on it equivalent resistance in series and parallel connection

For a $DC$ circuit, Kirchoff's rules yield the following equations.
$I _{3}=I _{1}+I _{2}$
$10 = 3I _{1}-2I _{2}$
$50=2I _{2}+9.6I _{3}$
What is the current $I _{2}$ (Amps)?

  1. $0.131$

  2. $-1.37$

  3. $0.245$

  4. $-3.5$

  5. $1.00$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Given: 1) I3 = I1 + I2, 2) 10 = 3I1 - 2I2, 3) 50 = 2I2 + 9.6I3. Substitute (1) into (3): 50 = 2I2 + 9.6(I1 + I2) = 9.6I1 + 11.6I2. Now solve the system: 3I1 - 2I2 = 10 (multiply by 3.2: 9.6I1 - 6.4I2 = 32). Subtract from 9.6I1 + 11.6I2 = 50: (11.6 + 6.4)I2 = 50 - 32 => 18I2 = 18 => I2 = 1.0 A.

Multiple choice physics kirchhoff's law circuit problems kirchoff's law and problems on it equivalent resistance in series and parallel connection

Kirchhoff's Loop rule is a direct consequence of law of conservation of

  1. Charge

  2. Momentum

  3. Angular momentum

  4. Energy
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Kirchhoff's Loop rule (KVL) is based on the fact that the electric field is conservative, meaning the work done in moving a charge around a closed loop is zero, which corresponds to the conservation of energy.

Multiple choice physics kirchhoff's law circuit problems kirchoff's law and problems on it equivalent resistance in series and parallel connection

Kirchoffs 1st and 2nd laws are based on conservation of

  1. Energy and charge respectively

  2. Charge and energy respectively

  3. Mass and charge respectively

  4. None of these above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Kirchhoff's $1$st law states that the total amount of current coming at a junction must be equal to the total amount of current going away from it i.e. the total charge must be conserved. Thus Kirchhoff's $1$st law is based on the conservation of charge.

Kirchhoff's $2$nd law states that the sum of the potential drop across all the components in a loop must be zero. Thus Kirchhoff's $2$nd law is based on the conservation of energy.