If and represent the free space permittivity, electric field and time respectively, then the unit of will be :

Question

If $ε_{0}, E$ and $t$ represent the free space permittivity, electric field and time respectively, then the unit of $\frac{ε_{0} E}{t}$ will be : [2026]

Smart Achievers · Accepted Answer

(3)

$E = \frac{Q}{A ε_{0}} \Rightarrow [ε_{0} E] = \frac{A T}{L^{2}}$

$[\frac{ε_{0} E}{t}] = \frac{A}{L^{2}} \Rightarrow Unit is (A / m^{2})$

Solution

Q.
If $ε_{0}, E$ and $t$ represent the free space permittivity, electric field and time respectively, then the unit of $\frac{ε_{0} E}{t}$ will be : [2026]

1 $Am$

2 ${Am}^{2}$

3 $A / m^{2}$

4 $A / m$

Ans.
(3)

$E = \frac{Q}{A ε_{0}} \Rightarrow [ε_{0} E] = \frac{A T}{L^{2}}$

$[\frac{ε_{0} E}{t}] = \frac{A}{L^{2}} \Rightarrow Unit is (A / m^{2})$

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Solution

Q. If ε0, E and t represent the free space permittivity, electric field and time respectively, then the unit of ε0Et will be : [2026]

1 Am

2 Am2

3 A/m2

4 A/m

Ans. (3) E=QAε0⇒[ε0E]=ATL2 [ε0Et]=AL2⇒Unit is (A/m2)