Question 633: Electrostats & Capacitance

Question

Assume that an electric field $$\overrightarrow E  = 30{x^2}\widehat i$$ exists in space. Then the potential difference $${V_A} - {V_O},$$ where $${V_O}$$ is the potential at the origin and $${V_A}$$ the potential at $$x=2$$ $$m$$ is :

Accepted Answer

Potential difference between any two points in an electric field is given by,
$$dV =  - \overrightarrow E .\overrightarrow {dx} $$
$$\int\limits_{{V_O}}^{{V_A}} {dV =  - \int\limits_0^2 {30{x^2}} } dx$$
$${V_A} - {V_O} = \left[ {10{x^3}} \right]_{0}^2 =  - 80J/C$$

Answer

$$120$$ $$J/C$$

Answer

$$-120$$ $$J/C$$

Answer

$$-80$$ $$J/C$$

Answer

$$80$$ $$J/C$$

Electrostats & Capacitance

Assume that an electric field $\overrightarrow E = 30{x^2}\widehat i exists in space. Then the potential difference {V_A} - {V_O}, where {V_O} is the potential at the origin and {V_A} the potential at x=2 m$ is :

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