If V=2V_ _at x=lmm and V=0 at x=0 and volume charge density p, is –10°E, C/m³ constant throughout the region between x=0 to x=1 mm. Calculate V at x=0.5mm and Ex at x=1 mm in free space.
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- Suppose we have a charge, q1=1 μC. This charge makes an electric field some distance r=73 cm away from it. Now suppose our measurement of q1 is only accurate to within 0.2 μC, and our measurement of r is only accurate to within 1.5 cm. What is the uncertainty in our field calculation due only to the uncertainty in the charge separation r? My answer for this was 694.05 N/C which was wrongThe charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs 1.0 m; p(r)= 2po(1-8r/3) For r> 1.0 m; p(r)= 0, where r is in meters. What is the value of rin meters for which the electric field is maximum? 0.25 O 0.50 O 0.75 O 1.0 O 2.0 O Diğer:D9.7. A point charge of 4 cos 10*zt µC is located at P,(0, 0, 1.5), whereas -4 cos 10*rt µC is at P_(0, 0, -1.5), both in free space. Find V at P(r=450, 0, p = 0) at t = 15 ns for 0 =: (a) 0°; (b) 90°; (c) 45°. %3D
- An infinite cylinder of radius R has a charge density given by p(r) = ar³, where r is the perpendicular distance from the axis of the cylinder, and a is a constant. Show that the electric field for r > R given by aRT E(r) : 7€or is the same as that obtained if all the charge is concentrated in an infinitely thin wire.Two flat conductors are placed with their in- ner faces separated by 16 mm. If the surface charge density on inner face A is 105 pC/m and on inner face B is -105 pC/m², calculate the electric po- tential difference AV VA VB- Use €0 = 8.85419 x 10¬12 c² /Nm². Answer in units of V. %3DA charge distribution has the charge density given by p =Q{s(x– x,)- 8(x+ x, } . For this charge distribution the electric field at (2x,,0,0)
- The electric field at a point in space is definedas the force per unit charge at that point inspace. We can write the electric field E ofa charge q at a distance d from that charge,experienced by a charge Q, asE =FQ= kqd2.The electric field has a direction such that itpoints toward negative charges and away frompositive charges. Suppose your rub a balloonin your hair and it acquires a static charge of−2 × 10−9 C.What is the magnitude of the electric fieldcreated by the balloon at a location 1 m duenorth of the balloon? Coulomb’s constant is9 × 109 N · m2/C2.Answer in units of N/C. You hair acquired an equal amount of positivecharge when you rubbed the balloon on yourhead.What is the strength of the electric fieldcreated by your head at the location of yourfeet, 1.5 meters below?Answer in units of N/C.Round to three significant figuresAn infinitely long rod of negligible radius has a uniform charge density λ=0.05 C/m . Calculate the electric field at a distance 52.8 m from the wire. (Take permittivity of free space \epsilon_{0}ϵ 0ϵ 0= 8.85x10-12 C2N-1m-2 and take π=3.14). Write your answer in multiples of 106 N/C. That means if, for example, you get a result of a 9.2 x 106 just type 9.2 in the answer box. Include 1 digit after the decimal point and maximum of 5% of error is accepted in your answer
- Given a non-uiform VOLUME charge density p= ko T sin 0 cos p, ko = constant, r,6, o are spherical coordinate variables 13. Find the total "Q" placed inside a sphere radius "R"The electric field in a region is radially outward with mag- nitude E = ar. Calculate the charge contained in a sphere of radius R centered at the origin. Calculate the value of charge if a = 100 V/m2 and R = 0.30 m. R Fig. 2.60 drA quarter-disc in the first quadrant has a surface charge density given by Kcos(φ)C/m2 . If the radius of the disc is b, calculate the electric field at a point P(0, 0, −h).