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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

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.

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

The Kirchhoff's first law $(\displaystyle\sum i=0)$ and second law $\left(\displaystyle \sum iR=\displaystyle\sum E\right)$, where the symbols have their usual meanings, are respectively based on

  1. Conservation of charge, conservation of energy

  2. Conservation of charge, conservation of momentum

  3. Conservation of energy, conservation of charge

  4. Conservation of momentum, conservation of charge
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
$\sum i=0$  (Conservation of charge).
Charge can neither be created or destroyed.
$iR=\sum E$ (Conservation of energy).
Total potential around a loop$=0$ or
Drop in Potential energy=Energy dissipated.
Multiple choice physics kirchhoff's law circuit problems kirchoff's law and problems on it equivalent resistance in series and parallel connection

"A good absorber of a given wavelength of radiation is also a good emitter of that wavelength." This is a statement of:

  1. Stefan-Boltzmann's law

  2. Wien's Law

  3. Kirchoff's Law

  4. The First Law of Thermodynamics
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Kirchhoff's Law of radiation states that for an arbitrary body emitting and absorbing thermal radiation in thermodynamic equilibrium, the emissivity is equal to the absorptivity.