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A straight wire carrying a current of 14 A is bent into a semicircular arc of radius 2.2 cm as shown in the figure. The magnetic field produced by the current at the centre (O) of the arc, is ______ ×10⁻⁴ T.

Asked in JEE Main 10th April 2nd Shift 2023 · Arcs and combined shapes

Figure: Arcs and combined shapes
Answer: 2

Step-by-step solution

The straight parts lie along the line through O: no field.

Semicircle: B=(μ₀ I)/(4R)=(4π×10⁻⁷×14)/(4×0.022).

B=(π×14×10⁻⁷)/(0.022)≈2×10⁻⁴ T

→ 2

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