4πke ke, B By how much is the approximation B HonI [or in terms of Coulomb's constant -nI] in error at the center of a solenoid that is 24 cm long, has a C² diameter of 7 cm, is wrapped with n turns per meter, and carries a current I? Hint

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**Transcription for Educational Website:**

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**Magnetic Field Approximation in a Solenoid**

By how much is the approximation \( B = \mu_0 n I \) [or in terms of Coulomb's constant \( k_e \), \( B = \frac{4 \pi k_e}{c^2} n I \)] in error at the center of a solenoid that is 24 cm long, has a diameter of 7 cm, is wrapped with \( n \) turns per meter, and carries a current \( I \)?

**Hint**

Compared to the exact expression, the approximation \( B = \mu_0 n I \) is:

\[ \text{Select an answer } \ \_\_\_\ \% \]

**Question Help:**
Transcribed Image Text:**Transcription for Educational Website:** --- **Magnetic Field Approximation in a Solenoid** By how much is the approximation \( B = \mu_0 n I \) [or in terms of Coulomb's constant \( k_e \), \( B = \frac{4 \pi k_e}{c^2} n I \)] in error at the center of a solenoid that is 24 cm long, has a diameter of 7 cm, is wrapped with \( n \) turns per meter, and carries a current \( I \)? **Hint** Compared to the exact expression, the approximation \( B = \mu_0 n I \) is: \[ \text{Select an answer } \ \_\_\_\ \% \] **Question Help:**
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