Physics Electromagnetism SZABMU 2022
PMDC Verified Question 28 of 58
The SI unit for magnetic induction B is tesla (T). 1 Tesla is equal to:
A
\( \text{NA}^{-1}\text{m}^{-1} \)
B
\( \text{NmA}^{-1} \)
C
\( \text{N}^{-1}\text{mA} \)
D
\( \text{NmA} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

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

The Tesla is a derived SI unit defined by the magnetic force formula on a current carrying wire.

Formula:

$$ F = ILB \implies B = \frac{F}{IL} $$

Solution:

  • Write out the SI units for the variables in the rearranged formula: Force \( F \) is in Newtons (N), Current \( I \) is in Amperes (A), and Length \( L \) is in meters (m).


  • Substitute the units: \( 1 \ \text{Tesla} = \frac{1 \ \text{N}}{1 \ \text{A} \cdot 1 \ \text{m}} \).


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


Why other options are incorrect:

Option B is the unit for magnetic flux (Weber). Options C and D are nonsensical arrangements of the constituent base units.

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