A straight conductor of weight 1 N and length 0.5 m, is located in a plane making an angle `30^@` with the horizontal so that it is perpendicular to a uniform mangetic field of induction `B= 0.109 T.` Given that the conductor carries a current of 10 A away from the reader, and coefficient of static friction is 0.1, find the force needed to be applied parallel to the plane to sustain the conductor at rest.

Explanation

To solve the problem, we need to analyze the forces acting on the conductor and apply the principles of equilibrium. Here’s a step-by-step solution:

### Step 1: Identify the forces acting on the conductor
1. **Weight (W)**: The weight of the conductor acts vertically downward. Given \( W = 1 \, \text{N} \).
2. **Magnetic Force (F_m)**: The magnetic force acting on the conductor due to the current in the magnetic field is given by the formula:
\[ F_m = I \cdot L \cdot B \]
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