Physics Electromagnetism SZABMU 2024
PMDC Verified Question 2 of 58
Telsa is the SI-unit of magnetic field intensity. Tesla can also be expressed as ____.
A
\( \text{N A}^{-1} \text{m}^{-1} \)
B
\( \text{N Am}^{-1} \)
C
\( \text{NA}^{-1}\text{m} \)
D
\( \text{NAm}^{-1} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \( \text{N A}^{-1} \text{m}^{-1} \)
Concept:

The Tesla is mathematically derived from the macroscopic magnetic force exerted on a current-carrying wire.

Formula:

$$ F = ILB \sin(\theta) $$

Solution:

  • Rearrange the force formula to isolate \( B \): \( B = \frac{F}{IL \sin\theta} \).


  • Substitute the fundamental SI units for each variable: \( 1 \ \text{Tesla} = \frac{1 \ \text{Newton}}{(1 \ \text{Ampere})(1 \ \text{meter})} \).


  • Move the denominators to the numerator using negative exponents: \( \text{N} \cdot \text{A}^{-1} \cdot \text{m}^{-1} \).


Why other options are incorrect:

Options B, C, and D contain incorrect exponents, representing dimensionally nonsensical units that do not equate to a Tesla.

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