A rectangular coil of area `5.0xx10^-4m^2` and `60` turns is pivoted about one of its vertical sides. The coil is in a radial horizontal magnetic field of `9xx10^-3T`. What is the torsional constant of the spring connected to the coil if a current of `0.20mA` produces an angular deflection of `18^@`?
A rectangular coil of area `5.0xx10^-4m^2` and `60` turns is pivoted about one of its vertical sides. The coil is in a radial horizontal magnetic field of `9xx10^-3T`. What is the torsional constant of the spring connected to the coil if a current of `0.20mA` produces an angular deflection of `18^@`?
Text Solution
AI Generated Solution
To solve the problem, we need to find the torsional constant \( C \) of the spring connected to the coil. We will use the relationship between the torque experienced by the coil in a magnetic field and the restoring torque provided by the spring.
### Step-by-Step Solution
1. **Identify the Given Values:**
- Area of the coil, \( A = 5.0 \times 10^{-4} \, \text{m}^2 \)
- Number of turns, \( N = 60 \)
- Magnetic field strength, \( B = 9 \times 10^{-3} \, \text{T} \)
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