SATHEE: Electrostatics 2 Question 9

Electrostatics 2 Question 9

9. Assume that an electric field $E = 30 x^{2} \hat{i}$ 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

(2014 Main)

(a) $120 J$

(b) $- 120 J$

(d) $80 J$

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Answer:

Correct Answer: 9. (a)

Solution:

As we know, potential difference $V_{A} - V_{O}$ is

$\begin{aligned} d V & = - E d x \\ \Rightarrow \int_{V_{o}}^{V_{A}} d V & = - \int_{0}^{2} 30 x^{2} d x \\ V_{A} - V_{O} & = - 30 \times \frac{x^{3}}{3} \\ = - 10 \times [2^{3} - (0)^{3}] \\ = - 10 \times 8 = - 80 J \end{aligned}$

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Electrostatics 2 Question 9

9. Assume that an electric field $E = 30 x^{2} \hat{i}$ 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

Answer:

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एनसीईआरटी पुस्तकें और समाधान

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Electrostatics 2 Question 9

9. Assume that an electric field E=30x2i^ exists in space. Then, the potential difference VA−VO, where VO is the potential at the origin and VA the potential at x=2m is

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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9. Assume that an electric field $E = 30 x^{2} \hat{i}$ 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