In a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop according to the Biot-Savart Law?

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Q: In a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop according to the Biot-Savart Law?

Solution: The magnetic field at the center of a circular loop of radius R carrying current I is given by B = (μ₀I)/(2R).

Steps: 6

Step 1: Understand that we have a circular loop with a radius R.
Step 2: Know that the loop carries an electric current I.
Step 3: Recall the Biot-Savart Law, which helps us calculate the magnetic field created by a current-carrying wire.
Step 4: Recognize that at the center of the circular loop, the magnetic field can be calculated using a specific formula.
Step 5: The formula for the magnetic field B at the center of the loop is B = (μ₀I)/(2R), where μ₀ is the permeability of free space.
Step 6: Substitute the values of I and R into the formula to find the magnetic field at the center.