Hukum Kirchhoff - masalah sareng solusi

1. Upami R₁ = 2 Ω, R₂ = 4 Ω, R₃ = 6 Ω, tangtukeun arus listrik aliran dina sirkuit di handap.

Dipikanyaho:

Résistor 1 (R₁) = 2 Ω

Résistor 2 (R₂) = 4 Ω

Résistor 3 (R₃) = 6 Ω

Sumber emf 1 (E₁) = 9 V

Sumber emf 2 (E₂) = 3 V

miharep: Electric current (I)

Solusi:

This question relates to hukum Kirchhoff urang. How to solve this problem:

kahiji, choose the direction of the current. You can decide the opposite current or direction in the clockwise direction.

kadua, when the current through the resistor (R) there is a potential decrease so that V = IR signed negative. katilu, if the current moves from low to high voltage (- to +) then the source of emf (E) signed positive because of the charging of energy at the emf source. If the current moves from high to low voltage (+ to -) then the source of emf (E) signed negative because of the emptying of energy at the emf source.

In this solution, the direction of the current is the same as the direction of clockwise rotation.

– IR₁ + E.₁ – IR₂ – IR₃ - E.₂ = 0

– 2 I + 9 – 4 I – 6 I – 3 = 0

– 12 I + 6 = 0

– 12 Abdi = – 6

Abdi = -6 / -12

Abdi = 0.5

The electric current flows in the circuit are 0.5 A. The electric current signed positive means that the direction of the electric current is the same as the direction of clockwise rotation. If the electric current is negative, then the electric current is opposite the clockwise direction.

2. Determine the electric current that flows in the circuit as shown in the figure below.

Solusi:

In this solution, the direction of the current is the same as the direction of clockwise rotation.

-20 – 5I -5I – 12 – 10I = 0

-32 – 20I = 0

-32 = 20I

Abdi = -32 / 20

I = -1.6 A

Because the electric current is negative, the direction of the electric current is actually opposite to the clockwise direction. The direction of electric current is not the same as estimation.

3. Determine the electric current that flows in the circuit as shown in the figure below.

Solusi:

In this solution, the direction of current is the same as the direction of clockwise rotation.

– I – 6I + 12 – 2I + 12 = 0

-9I + 24 = 0

-9I = -24

Abdi = 24 / 9

I = 8 / 3 A

4. An electric circuit consists of four resistors, R₁ = 12 Ohm, R₂ = 12 Ohm, R₃ = 3 Ohm and R₄ = 6 Ohm, are connected with source of emf E₁ = 6 Volt, E₂ = 12 Volt. Determine the electric current flows in the circuit as shown in figure below.

Dipikanyaho:

Résistor 1 (R₁) = 12 Ω

Résistor 2 (R₂) = 12 Ω

Résistor 3 (R₃) = 3 Ω

Résistor 4 (R₄) = 6 Ω

Sumber emf 1 (E₁) = 6 Volt

Sumber emf 2 (E₂) = 12 Volt

Dipilari: The electric current flows in the circuit (I)

Solusi:

Résistor 1 (R₁) and resistor 2 (R₂) are connected in parallel. The equivalent resistor :

1 / Urang Sunda₁₂ = 1/Urang Sunda₁ + 1/Urang Sunda₂ = 1/12 + 1/12 = 2/12

R₁₂ = 12/2 = 6 Ω

In this solution, the direction of current is the same as the direction of clockwise rotation.

– IR₁₂ - E.₁ – IR₃ - IR₄ + E.₂ = 0

– 6 Abdi – 6 – 3I – 6I + 12 = 0

– 6I – 3I – 6I = 6 -12

– 15I = – 6

Abdi = -6/-15

I = 2/5 A

5. Determine the electric current that flows in circuit as shown in figure below.

Dipikanyaho:

Résistor 1 (R₁) = 10 Ω

Résistor 2 (R₂) = 6 Ω

Résistor 3 (R₃) = 5 Ω

Résistor 4 (R₄) = 20 Ω

Sumber emf 1 (E₁) = 8 Volt

Sumber emf 2 (E₂) = 12 Volt

Dipilari: The electric current that flows in circuit

Solusi:

Résistor 3 (R₃) and resistor 4 (R₄) are connected in parallel. The equivalent resistor :

1 / Urang Sunda₃₄ = 1/Urang Sunda₃ + 1/Urang Sunda₄ = 1/5 + 1/20 = 4/20 + 1/20 = 5/20

R₃₄ = 20/5 = 4 Ω

In this solution, the direction of current is the same as the direction of clockwise rotation.

– IR₁ – IR₂ - E₁ – IR₃₄ + E.₂ = 0

– 10I – 6I - 8 - 4I + 12 = 0

– 10I – 6I - 4I = 8 – 12

- 20I = – 4

Abdi = -4/-20

I = 1/5 A

Abdi = 0.2 A

6. Determine the electric current that flows in circuit as shown in figure below.

Dipikanyaho:

Résistor 1 (R₁) = 1 Ω

Résistor 2 (R₂) = 6 Ω

Résistor 3 (R₃) = 6 Ω

Résistor 4 (R₄) = 4 Ω

Sumber emf 1 (E₁) = 12 Volt

Sumber emf 2 (E₂) = 6 Volt

Dipilari: The electric current that flows in circuit

Solusi:

Résistor 1 (R₁) and resistor 2 (R₂) are connected in parallel. The equivalent resistor :

1 / Urang Sunda₁₂ = 1/Urang Sunda₁ + 1/Urang Sunda₂ = 1/1 + 1/6 = 6/6 + 1/6 = 7/6

R₁₂ = 6/7 Ω

The direction of current is the same as the direction of clockwise rotation.

E₁ - ABDI R₁₂ - E.₂ - ABDI R₄ – IR₃ = 0

12 – (6/7)I – 6 – 4I – 6I = 0

12 – 6 – (6/7)I – 4I – 6I = 0

6 – (6/7)I – 10I = 0

6 = (6/7)I + 10I

6 = (6/7)I + (70/7)I

6 = (76/7)I

(6)(7) = 76I

42 = 76I

Kuring = 42/76

Abdi = 0.5 A