E = sign(æ) · (300 N/C)i where sign(æ) = c < 0 and sign(x) = +1 if x > 0. A cylinder of ngth 20 cm and radius 4.0 cm has its center at the gin and its axis along the r-axis such that one end
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- A solid cylinder has radius 7.77 m and height 7.06 m. If the total charge equally distributed throughout the volume of the cylinder is 15.75 nC, determine the magnitude of the electric field, in volts per meter, 3.24 m radially away from the axis of the cylinder. Express your answers accurate to four decimal places.(b) Three pomt ciarges are located on a ciseular circumference of radius 3.0 cm as shown in Figure 2. At point P. om Fjure Draw the electric field exerted by each charge i. Find the electric field exerted by each charge m What are thie net electric field and its direction?1.6. A uniformly charged insulating rod is bent into the shape of a semicirele of radius R = 5 cm. If the rod has a total charge of Q = 3.10°C, find the magnitude and direction of the electric field at 0, the center of the circle. (Answer: E = 6,84.10ʻV/m)
- A charge emanates an electric field of 102 N/C. If this field is placed on a circular surface with a radius of 48 µm & is angled at 74o from the surface, what is the electric flux?Given a charge Q1=50nC located at the XY coordinates (5m, 10m) and a charge Q2= -20nC located at the X, coordinates (-3m.-1m). The field point has coordinates (-3m, 4m). Find the Total Efield?The volume charge density of a spherically charged cloud changes with the distance to the cloud center as p(r) = po r a " where the parameters are po 1.85 nC/m³ and a = 22 m. Find the magnitude of electric field at distance d = 25 m from the cloud center. The electric field, E(r = 25 m) = 1484.65 Find the electric field (in N/C) as a function of r (in m). Do not submit the units. The electric field, E(r) = 1484.65 N/C. = Units N/C
- a thin wire with L=22.13cm has a uniform linear charge density of 5.635×10^-8 C/m . This wire is curved into a semicircle with radius of R=L/π. İf the semicircle is centered at the origin. pleasu find magnitude and direction of rhe electric feild at origin.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.A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner radius b. The solid cylinder and the shell carry charges +Q and Q , respectively. Assuming that the length L of both conductors is much greater than a or b, determine the electric field as a function of r, the distance from the common central axis of the cylinders, for (a) ra; (b) arb; and (c) rb.
- A charge of 30C is distributed uniformly a spherical volume of radius 10.0 cm. Determine the electric field due to this charge at a distance of (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the center of the sphere.The electric field in a region is given by E=al(b+cx)i, where a=200 N ? m/C, b=2.0 m, and c=2.0 . What is the net charge enclosed by the shaded volume shown below?Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed uniformly throughout its volume. (a) is the electric force exerted on an electron when it is 3.01015 m from the center of the nucleus? (b) What is the acceleration of the electron at this point?