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1.) Gauges A certain physical situation has potentials V = Vox and A = A.(zỹ +...
1 9 Consider a point charge at rest at the origin. You know that V(F,t) a....
1 9 Consider a point charge at rest at the origin. You know that V(F,t) a. Explain why, in this case, A(F,t) 0. b. Explicitly check to see if we are in the Coulomb gauge, the Lorenz gauge, or perhaps c. Introduce a gauge transformation AnewA Vf, Vnew - V - ôf/ôt, using the d. Briefly discuss your results: are the potentials "static" or time-dependent? Does this both or neithei particular choice f(r, t)-qt/4?6r. Find Anew and hew represent the...
3. (a) Find the electric and magnetic fields which corresponding to the following potentials: V (Ft)...
3. (a) Find the electric and magnetic fields which corresponding to the following potentials: V (Ft) = 0, A(F,t) = - (b) Find the charge and current distributions which give rise to these potentials. (@) Show that applying the gauge function 1 = - will not affect the fields E and B. (a) Apply the gauge function ) = -d to transform the potentials and comment on what type of charge distribution would give rise to this set of potentials.
5. (20 points) We use strain gauge to create a fish weight scale. The strain gauges are mounted on a plastic tube with fish hanging on to it. The strain gauges have resistance R 2400 2 (unstrained...
5. (20 points) We use strain gauge to create a fish weight scale. The strain gauges are mounted on a plastic tube with fish hanging on to it. The strain gauges have resistance R 2400 2 (unstrained) and the GF 2.14. A (1) Which is the dummy gauge, A or B? Circle the dummy gauge. (2) Show how to wire the two gauges and two fixed 2400 Ω resistors into the bridge circuit to provide temperature compensation, using the graphs...
1. A certain voltmeter has scale (0-10) V and accuracy 1%. Voltmeter indicates 4.52 V. What...
1. A certain voltmeter has scale (0-10) V and accuracy 1%. Voltmeter indicates 4.52 V. What are the limits for actual voltage? [Ans.(4.52 +/-0.1) V] 2. An ammeter with the scale (0 - 100) mA and accuracy 2% indicates currents 42 mA and 70 mA. Find the possible percentage error for each reading. [Ans. +/- 4.76%, +/- 2.86%). 3. A voltmeter has two scale (0 - 10) V and (0 - 100) V with 100 divisions for each scale. Define...
Question 6 (2 pts). [Exercise 4.1.9] Let V = W = R 2 . Choose the...
Question 6 (2 pts). [Exercise 4.1.9] Let V = W = R 2 . Choose
the basis B = {x1, x2} of V , where x1 = (2, 3), x2 = (4, −5) and
choose the basis D = {y1, y2} of W, where y1 = (1, 1), y2 = (−3,
4). Find the matrix of the identity linear mapping I : V → W with
respect to these bases.
QUESTION 6 (2 pts). Exercise 4.1.9 Let V = W...
4. Determine the timelike, spacelike or lightlike character of the 4-vectors: y" = (0,-1, 1,1) z" = (3,417,100) , ; in Minkowski spacetime in Cartesian coordinates 5. Show that if is a un...
4. Determine the timelike, spacelike or lightlike character of the 4-vectors: y" = (0,-1, 1,1) z" = (3,417,100) , ; in Minkowski spacetime in Cartesian coordinates 5. Show that if is a unit timelike vector, it is always possible to find a Lorentz transformation such thawill have components (0,0,0,1). Show that if k" is a null vector, i is always possible to find a Lorentz transformation such that k" has components (1,0,0,1). Hence show that if UV,-0, and U"is timelike,...
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)Vande...
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)VandeAsTando-)a, byr (a) Show that V . A -μέ--. (b) Find B. H. E. and D. (c) Show that these results satisfy Maxwell's equations if J and ρν are zero. 0t
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)VandeAsTando-)a, byr (a) Show that V . A -μέ--. (b) Find B. H. E. and D. (c)...
1. situation : client’s feelings and PSW action ( physical and emotional help) 2.situation : client’s...
1. situation : client’s feelings and PSW action ( physical and
emotional help)
2.situation : client’s feelings and PSW action ( physical and
emotional help)
Answers
Module 7 - Care Planning/ Restorative Care/ Documentation/Working in the Community Assignment in Module 7. Gregg is a 55-year-old widow who has had an active career as a lawyer. She is an avid der She is an independent woman who has had to adapt to many changes in her life. She mioys crafts and...
Recall that an energy eigenfunction of any central potential V (r) may be writtren as ψn`m(r,...
Recall that an energy eigenfunction of any central potential V
(r) may be writtren as ψn`m(r, θ, φ) = Rn`(r)Y`m(θ, φ). This
problem explores the behavior of ψ in the vicinity of the origin r
= 0. Recall that the function u(r) = rRn`(r) satisfies the
equation
− ~ 2 2m d 2u dr2 + ~ 2 `(` + 1) 2mr2 + V (r) u = Eu, (1)
where E is the energy eigenvalue. Note that Eq. (1) has the...
For the situation in problem 23.2, find the flux (in Nm2/C) through the y = a...
For the situation in problem 23.2, find the flux (in
Nm2/C) through the y = a
(right) face of the cube of side a = 2.2 musing an
electric field with components in N/C of Ex =
4.0, Ey = -2.0(x/a - 3.0), and
Ez = 0. (2 sig. figs.)
through the surface. 2 An electric field given by E 4.0i- 3.0(y2 + 2.0)i pierces a Gaussian cube of edge length 2.0 m and positioned as shown in Fig. 23-7....
1 9 Consider a point charge at rest at the origin. You know that V(F,t) a. Explain why, in this case, A(F,t) 0. b. Explicitly check to see if we are in the Coulomb gauge, the Lorenz gauge, or perhaps c. Introduce a gauge transformation AnewA Vf, Vnew - V - ôf/ôt, using the d. Briefly discuss your results: are the potentials "static" or time-dependent? Does this both or neithei particular choice f(r, t)-qt/4?6r. Find Anew and hew represent the...
3. (a) Find the electric and magnetic fields which corresponding to the following potentials: V (Ft) = 0, A(F,t) = - (b) Find the charge and current distributions which give rise to these potentials. (@) Show that applying the gauge function 1 = - will not affect the fields E and B. (a) Apply the gauge function ) = -d to transform the potentials and comment on what type of charge distribution would give rise to this set of potentials.
5. (20 points) We use strain gauge to create a fish weight scale. The strain gauges are mounted on a plastic tube with fish hanging on to it. The strain gauges have resistance R 2400 2 (unstrained) and the GF 2.14. A (1) Which is the dummy gauge, A or B? Circle the dummy gauge. (2) Show how to wire the two gauges and two fixed 2400 Ω resistors into the bridge circuit to provide temperature compensation, using the graphs...
1. A certain voltmeter has scale (0-10) V and accuracy 1%. Voltmeter indicates 4.52 V. What are the limits for actual voltage? [Ans.(4.52 +/-0.1) V] 2. An ammeter with the scale (0 - 100) mA and accuracy 2% indicates currents 42 mA and 70 mA. Find the possible percentage error for each reading. [Ans. +/- 4.76%, +/- 2.86%). 3. A voltmeter has two scale (0 - 10) V and (0 - 100) V with 100 divisions for each scale. Define...
Question 6 (2 pts). [Exercise 4.1.9] Let V = W = R 2 . Choose
the basis B = {x1, x2} of V , where x1 = (2, 3), x2 = (4, −5) and
choose the basis D = {y1, y2} of W, where y1 = (1, 1), y2 = (−3,
4). Find the matrix of the identity linear mapping I : V → W with
respect to these bases.
QUESTION 6 (2 pts). Exercise 4.1.9 Let V = W...
4. Determine the timelike, spacelike or lightlike character of the 4-vectors: y" = (0,-1, 1,1) z" = (3,417,100) , ; in Minkowski spacetime in Cartesian coordinates 5. Show that if is a unit timelike vector, it is always possible to find a Lorentz transformation such thawill have components (0,0,0,1). Show that if k" is a null vector, i is always possible to find a Lorentz transformation such that k" has components (1,0,0,1). Hence show that if UV,-0, and U"is timelike,...
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)VandeAsTando-)a, byr (a) Show that V . A -μέ--. (b) Find B. H. E. and D. (c) Show that these results satisfy Maxwell's equations if J and ρν are zero. 0t
9.251 In a region where μ,-E,-1 and σ 0, the retarded potentials are given are given r(z-ct)VandeAsTando-)a, byr (a) Show that V . A -μέ--. (b) Find B. H. E. and D. (c)...
1. situation : client’s feelings and PSW action ( physical and
emotional help)
2.situation : client’s feelings and PSW action ( physical and
emotional help)
Answers
Module 7 - Care Planning/ Restorative Care/ Documentation/Working in the Community Assignment in Module 7. Gregg is a 55-year-old widow who has had an active career as a lawyer. She is an avid der She is an independent woman who has had to adapt to many changes in her life. She mioys crafts and...
Recall that an energy eigenfunction of any central potential V
(r) may be writtren as ψn`m(r, θ, φ) = Rn`(r)Y`m(θ, φ). This
problem explores the behavior of ψ in the vicinity of the origin r
= 0. Recall that the function u(r) = rRn`(r) satisfies the
equation
− ~ 2 2m d 2u dr2 + ~ 2 `(` + 1) 2mr2 + V (r) u = Eu, (1)
where E is the energy eigenvalue. Note that Eq. (1) has the...
For the situation in problem 23.2, find the flux (in
Nm2/C) through the y = a
(right) face of the cube of side a = 2.2 musing an
electric field with components in N/C of Ex =
4.0, Ey = -2.0(x/a - 3.0), and
Ez = 0. (2 sig. figs.)
through the surface. 2 An electric field given by E 4.0i- 3.0(y2 + 2.0)i pierces a Gaussian cube of edge length 2.0 m and positioned as shown in Fig. 23-7....
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