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A bar magnet of magnetic moment of 5*0Am...

A bar magnet of magnetic moment of `5*0Am^2` has poles `20cm` apart. Calculate the pole strength.

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To solve the problem of finding the pole strength of a bar magnet given its magnetic moment and the distance between its poles, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Values:** - Magnetic moment (M) = \(5 \, \text{A m}^2\) - Distance between the poles (2L) = \(20 \, \text{cm}\) 2. **Convert the Distance to Meters:** - Since \(1 \, \text{cm} = 0.01 \, \text{m}\), we convert \(20 \, \text{cm}\) to meters: \[ 2L = 20 \, \text{cm} = 20 \times 0.01 \, \text{m} = 0.2 \, \text{m} \] 3. **Calculate the Half Distance (L):** - The distance from the center of the magnet to one pole (L) is half of 2L: \[ L = \frac{2L}{2} = \frac{0.2 \, \text{m}}{2} = 0.1 \, \text{m} \] 4. **Use the Formula for Magnetic Moment:** - The magnetic moment (M) of a bar magnet is given by the formula: \[ M = m \cdot 2L \] where \(m\) is the pole strength. 5. **Rearrange the Formula to Find Pole Strength (m):** - Rearranging the formula to solve for \(m\): \[ m = \frac{M}{2L} \] 6. **Substitute the Values:** - Now substituting the known values into the equation: \[ m = \frac{5 \, \text{A m}^2}{0.2 \, \text{m}} = \frac{5}{0.2} \, \text{A} = 25 \, \text{A} \] 7. **Final Answer:** - The pole strength of the bar magnet is \(25 \, \text{A}\). ### Summary of the Solution: The pole strength of the bar magnet is calculated to be \(25 \, \text{A}\).

To solve the problem of finding the pole strength of a bar magnet given its magnetic moment and the distance between its poles, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Given Values:** - Magnetic moment (M) = \(5 \, \text{A m}^2\) - Distance between the poles (2L) = \(20 \, \text{cm}\) ...
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