all T-Mobile 10:52 PM Done 1 of 7 PHYS 2212: Gauss Law Group Worlk Problem #...
1) Neutral hydrogen can be modeled as a positive point charge +1.6×10−19C surrounded by a distribution of negative charge with volume density given by ρE(r)=−Ae−2r/a0 where a0=0.53×10−10m is called the Bohr radius, A is a constant such that the total amount of negative charge is −1.6×10−19C, and e = 2.718... is the base of the natural log. [Hint: Do not confuse the exponential number e with the elementary charge e which uses the same symbol but has a completely different...
7) Use Gauss' Law to solve this problem. A 6 nC (nanocoulomb) charge is located at the center of a 2 meter radius uncharged spherical metal shell. Calc. the electric field at a radius of r 1 meter in N/C. (a) 14 (b) 24 (c) 34 (d) 54 8) An electric field is 4 X 10 v/m at an angle of 30 to the x axis. A charge undergoes a displacement vector of 3 m j. (3 meters along the...
Question 1 (compulsory): (i) State Gauss' law for the electric field (E-field) in words and explain its meaning. Write the corresponding mathematical expression and clearly define all symbols and operations used. Describe one application of Gauss' law. 15% (ii) A very long wire carrying electric charge with uniform line charge density is located in free space. Applying Gauss' law, derive the E-field due to this wire. Clearly explain every step of your derivation and the assumptions you take. 40% Find...