Math Problem Statement

Dua buah kawat lurus panjang berarus listrik diletakkan dalam posisi sejajar. Berikut ini pernyataan yang benar tentang arah induksi magnetik di titik x, y, dan z.

Solution

The problem involves two long, straight parallel wires carrying electric currents in the same direction, as indicated by the arrows in the image. Each wire produces a magnetic field around it, and we need to determine the correct statement about the direction of the magnetic field (induksi magnetik) at points xx, yy, and zz.

Solution Steps

  1. Determine Magnetic Field Direction: For a current-carrying straight wire, the magnetic field direction around the wire can be determined by the right-hand rule. According to this rule:

    • Point the thumb of your right hand in the direction of the current.
    • The curl of your fingers gives the direction of the magnetic field around the wire.
  2. Apply Right-Hand Rule:

    • For both wires (since currents I1I_1 and I2I_2 are in the same direction):
      • At point yy (between the two wires), the magnetic fields due to each wire will oppose each other since they are in opposite directions (one into the page and one out of the page).
      • At point xx (left of the left wire) and point zz (right of the right wire), the magnetic fields from both wires add up in the same direction.
  3. Analyze Each Point:

    • Point yy: The magnetic field from each wire at this point will cancel out partially, but the field should still point into the page.
    • Point xx: The magnetic field at this point should point into the page.
    • Point zz: The magnetic field here should also point out of the page.

Answer

  • Option B is correct: "Arah induksi magnetik pada titik xx masuk ke dalam bidang" (The magnetic induction direction at point xx is into the page).

Would you like more detailed explanations, or do you have any questions about this problem?


Related Questions to Deepen Understanding:

  1. How does the distance between two wires affect the magnetic field at a point between them?
  2. What would happen to the magnetic field direction if the currents in the wires were opposite?
  3. How does the strength of the magnetic field change with distance from a current-carrying wire?
  4. What is the Biot-Savart law, and how can it be applied to find the magnetic field around a current-carrying wire?
  5. How would the magnetic field at point yy change if the currents in the wires were different?

Tip

Using the right-hand rule is essential for determining the direction of magnetic fields around current-carrying conductors.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Magnetism
Electromagnetism
Magnetic Fields

Formulas

Right-hand rule for magnetic fields

Theorems

Ampere's Law
Biot-Savart Law

Suitable Grade Level

Grades 10-12