2. Figure 2 displays two extended linear objects aligned along the same axis. One object is a semi-infinite insulating line charged with the uniform linear charge density λ. The other is an insulating uniformly charged thin rod. Rod’s total charge is Q and length 2a. The distance from rod’s center to the end of the semi-infinite line is r. Find the electric force F exerted on the rod as a function of the given parameters. (Of course, the vector of force here is directed along the system axis and F therefore refers to this only non-zero component.)
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2. Figure 2 displays two extended linear objects aligned along
the same axis. One object is...
1. A line of charge aligned along the z-axis with a length of L has a...
1. A line of charge aligned along the z-axis with a length of L has a charge density of de(z) = pz Where is the displacement along the axis and 2 = 0 at the center of the line. B gives the linear charge density per length, determining the charge density at a given location of the line. 2=0 - - a. Discuss the meaning of the linear charge density equation and what it physically means about the amount of...
8 A semi-infinite thin rod has a uniform linear positive charge density λ and is located along th...
8 A semi-infinite thin rod has a uniform linear positive charge density λ and is located along the x-axis between x = x° (>0) and x = +ㆀ. Find the electric field at the origin. Hint: Ja .2 = a-b A.의 dx 1 B. 一巡i E. zero
8 A semi-infinite thin rod has a uniform linear positive charge density λ and is located along the x-axis between x = x° (>0) and x = +ㆀ. Find the electric field at...
Three point charges, q1 = -4.19nC, q2 = 5.31nC and q3 = 2.70nC are aligned along the x axis as shown in the figure below. Assume that L1 = 0.545m and L2 = 0.755m.
Three point charges, q1 = -4.19nC, q2 = 5.31nC and q3 = 2.70nC are aligned along the x axis as shown in the figure below. Assume that L1 = 0.545m and L2 = 0.755m. Calculate the electric field at the position (2.13m, 0). Calculate the magnitude of the electric field at the position (0, 2.13m). Calculate the angle of the electric field with respect to the positive x-axis at this position (0, 2.13). A line of positive charge is formed into a semicircle of...
5. Two identical conducting small spheres are placed with their centers 0.320 m apart. One is...
5. Two identical conducting small spheres are placed with their centers 0.320 m apart. One is given a charge of 12.0 nC and the other a charge of -18.0 nC. (a) Find the electric force exerted by one sphere on the other. magnitude [1.9e-o direction toward the other sphere (b) The spheres are connected b on the other after they have come to equilibrium. magnitude 7.90e-07 direction away from the other sphere 6. A rod 16.0 cm long is uniformly...
Two thin rods of length L lie along the x-axis, one between x=a/2 and x=a/2+L and...
Two thin rods of length L lie along the x-axis, one between x=a/2 and x=a/2+L and the other between x=?a/2 and x=?a/2?L. Each rod has positive charge Q distributed uniformly along its length. Part A Calculate the electric field produced by the second rod at points along the positive x-axis. Express your answer in terms of the variables x, a, L, Q and appropriate constants. ANSWER: Ex = 2kQL(12x+a?12L+2x+a) Incorrect; Try Again; 5 attempts remaining Part B Find the magnitude...
Annfinite line of charge with Inear density λ,-87i.cm.s positioned along the axis of a thick Insulating...
Annfinite line of charge with Inear density λ,-87i.cm.s positioned along the axis of a thick Insulating shell of inner radius a 29 cm and outer radius b 4cm. The insulacing shell is uniformly charged with a volume density ofp--723Cm 1) wha isAg the linear charge density of che insulating shelt 2) Whar is EJPi, the value of the x-component of the electric field at point P, locaced a distance 7 cm along the yas from the line of charge? )...
30 An infinite line of charge with linear density λ,--S6pcim is positioned along the axis of...
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continuous object using integrals. Consider a thin, charged rod of length, L. It lies along the...
continuous object using integrals. Consider a thin, charged
rod of length, L. It lies along the x-axis with one end at x = 0
and the other end at x = L. It has a non-uniform linear charge
density given by the function
λ(x) = −λ0 + Ax , where λ0 and A are both positive
constants.
(a) What are the units of λ0 and A? Explain.
(b) Suppose that λ0 and A are related such that A = 2λ0/L....
2. Two very long wires are oriented parallel to the y axis and carry identical but...
2. Two very long wires are oriented parallel to the y axis and carry identical but unknown currents Ia inopposite directions. The wires cross the x-axis at positions x = +2a and +3a. The wires produce amagnetic field at the origin with known magnitude B0 and direction -z (i.e., into the page). Finally, aparticle of charge q passes through the origin, with velocity y in the +y direction.(a) Using the given magnitude and direction of the magnetic field ii at...
1 & 2 1,(7 points) Three point-like charged objects lie along the x-axis, One has a...
1 & 2
1,(7 points) Three point-like charged objects lie along the x-axis, One has a charge of +154 nc and is located at the origin; one has a charge of +21.9 nC and is located at x1.78 cm; the third has a charge of -16.2 nC and is located at x +1.43 cm. What is the magnitude of the net force on the charge at the origin? [mN- 0.001 N.] a) 1.40 mN b) 12.4 mN c) 20.5 mN...
1. A line of charge aligned along the z-axis with a length of L has a charge density of de(z) = pz Where is the displacement along the axis and 2 = 0 at the center of the line. B gives the linear charge density per length, determining the charge density at a given location of the line. 2=0 - - a. Discuss the meaning of the linear charge density equation and what it physically means about the amount of...
8 A semi-infinite thin rod has a uniform linear positive charge density λ and is located along the x-axis between x = x° (>0) and x = +ㆀ. Find the electric field at the origin. Hint: Ja .2 = a-b A.의 dx 1 B. 一巡i E. zero
8 A semi-infinite thin rod has a uniform linear positive charge density λ and is located along the x-axis between x = x° (>0) and x = +ㆀ. Find the electric field at...
5. Two identical conducting small spheres are placed with their centers 0.320 m apart. One is given a charge of 12.0 nC and the other a charge of -18.0 nC. (a) Find the electric force exerted by one sphere on the other. magnitude [1.9e-o direction toward the other sphere (b) The spheres are connected b on the other after they have come to equilibrium. magnitude 7.90e-07 direction away from the other sphere 6. A rod 16.0 cm long is uniformly...
Annfinite line of charge with Inear density λ,-87i.cm.s positioned along the axis of a thick Insulating shell of inner radius a 29 cm and outer radius b 4cm. The insulacing shell is uniformly charged with a volume density ofp--723Cm 1) wha isAg the linear charge density of che insulating shelt 2) Whar is EJPi, the value of the x-component of the electric field at point P, locaced a distance 7 cm along the yas from the line of charge? )...
30 An infinite line of charge with linear density λ,--S6pcim is positioned along the axis of a thick conducting shell of inner radius a 3.4 cm and outer radius b-54 cm and infinite length. The conducting shell is uniformly charged with a linear charge density A 2 3.5 uC/m 1) What is EXP), the electric field at point P, located at (x,y)卟7.6cm, 0cm) ? NIC Submit 2) What is Ey/P), the electric field at point P, located at (xy)-(-7.6 cm,...
continuous object using integrals. Consider a thin, charged
rod of length, L. It lies along the x-axis with one end at x = 0
and the other end at x = L. It has a non-uniform linear charge
density given by the function
λ(x) = −λ0 + Ax , where λ0 and A are both positive
constants.
(a) What are the units of λ0 and A? Explain.
(b) Suppose that λ0 and A are related such that A = 2λ0/L....
2. Two very long wires are oriented parallel to the y axis and carry identical but unknown currents Ia inopposite directions. The wires cross the x-axis at positions x = +2a and +3a. The wires produce amagnetic field at the origin with known magnitude B0 and direction -z (i.e., into the page). Finally, aparticle of charge q passes through the origin, with velocity y in the +y direction.(a) Using the given magnitude and direction of the magnetic field ii at...
1 & 2
1,(7 points) Three point-like charged objects lie along the x-axis, One has a charge of +154 nc and is located at the origin; one has a charge of +21.9 nC and is located at x1.78 cm; the third has a charge of -16.2 nC and is located at x +1.43 cm. What is the magnitude of the net force on the charge at the origin? [mN- 0.001 N.] a) 1.40 mN b) 12.4 mN c) 20.5 mN...
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