Question

The magnetic flux $\phi = 5At^{2} + Bt - 2C$ has SI units of $A$ and $B$ respectively}

• A. $\text{Wb s}^{2}$, $\text{Wb s}$
• B. $\text{Wb s}^{-1}$, $\text{Wb}$
• C. $\text{Wb s}^{-2}$, $\text{Wb s}^{-1}$
• D. $\text{Wb s}^{-1}$, $\text{Wb s}^{-2}$

Hint:

Always match dimensions term-by-term in physics equations.

Answer 1

The Correct Option is C

Concept: Magnetic flux $\phi$ has SI unit Weber (Wb). Each term in the equation must have same unit.

Step 1: Analyze first term \[ 5At^2 \sim \text{Wb} \] Since $t^2$ has unit $s^2$: \[ A \cdot s^2 = \text{Wb} \Rightarrow A = \text{Wb s}^{-2} \]

Step 2: Analyze second term \[ Bt \sim \text{Wb} \Rightarrow B \cdot s = \text{Wb} \Rightarrow B = \text{Wb s}^{-1} \] Final Answer: \[ \boxed{(C)} \]