PHY102_Tut 06.pdf - Spring 2016 PHY102: Introduction to...

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Spring 2016PHY102: Introduction to Physics-II07/02/16Tutorial–06Department of PhysicsShiv Nadar University1.The volume charge density of a solid sphere of radius?varies as𝜌 = 𝜌0(𝑅), where𝜌0is aconstant (of appropriate unit) and?is the radial distance measured from the center of thesphere. Find out the electric field at a distance?from the center of the sphere by calculatingthe contribution due to an infinitesimal volume and then integrating over the volume of thesphere.You may need the following integral result:∫(? βˆ’ ?𝑒)(?2+ ?2βˆ’ 2??𝑒)32⁄𝑑𝑒 =2?2? < ?+1βˆ’1= 0 ? > ?[Without loss of any generality you can take?to be lying along the?-axis, and then usespherical coordinates. You should consider bothπ‘Ÿ
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SANTOSH SINGH

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