Simplified form of Voltage Formula

AI Thread Summary
The discussion centers on the voltage formula related to electric fields, specifically the equation Vb-Va = -∫_a^b E dl. A user questions the simplification for a positively charged conducting sphere, suggesting an alternative expression. They initially express confusion about the integral limits and the resulting formula. Ultimately, the user resolves their misunderstanding and acknowledges their error. The conversation highlights the importance of correctly applying integral limits in voltage calculations.
Typhon4ever
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In my book it gives the relationship between voltage and electric field as Vb-Va= -\int _a^{b} E dl which for a positively charged conducting sphere Q simplifies to \frac{Q}{4\pi\epsilon_0} (\frac{1}{b}-\frac{1}{a}) my questions is that shouldn't it be \frac{Q}{4\pi\epsilon_0} (\frac{1}{a}-\frac{1}{b})? The integral turns into \int _b^{a} what am I missing here?
 
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Nvmind I got it I feel stupid lol
 
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