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Problem 2 (3 marks) There are 2 point charges Qt) at (1,0,0) and Q2(t) at (-0.5,...
Q.4 [8 marks] Consider the Markov chain with the following transition diagram 1 0.5 0.5 0.5 0.5 0.5 2 3 0.5 (a) Write d...
Q.4 [8 marks] Consider the Markov chain with the following transition diagram 1 0.5 0.5 0.5 0.5 0.5 2 3 0.5 (a) Write down the transition matrix of the Markov chain 1 marks 2 marks (b) Compute the two step transition matrix of the Markov chain (c) What is the state distribution T2 for t = 2 if the initial state distribution for 2 marks t 0 is o (0.1, 0.5, 0.4)T? 3 marks (d) What is the average time...
Calculate the work done by the force F= (x-2y)i+(x+y)j in a) 2. moving from point A at (0,2) to point B at (2,18) along...
Calculate the work done by the force F= (x-2y)i+(x+y)j in a) 2. moving from point A at (0,2) to point B at (2,18) along the path y 4x2+2. [5 marks] - Evaluate the line integral(xdy+ydx) along a path C that is b) [5 marks] to t described by x= cos(f), y=2sin(t)+5, from t =: 2
Calculate the work done by the force F= (x-2y)i+(x+y)j in a) 2. moving from point A at (0,2) to point B at (2,18) along the...
Q2 (a) Given the signal x(t) and system h(t) as presented in Figure Q2(a). Determine the...
Q2 (a) Given the signal x(t) and system h(t) as presented in Figure Q2(a). Determine the output y(t) using the graphical representation of convolution integral. (7 marks) x(1) h(t) 1 e-'u(t) e-2 (1) 0 Figure Q2(a) Q2 (b) Consider a system as shown in Figure Q2(b). t2 - 1 x(t) y(t) Advance by 1 second Х Figure Q2(b) Find the input-output relation between x(t) and y(t). (i) (1 mark) Examine whether the system is time variant or time invariant. (5...
PROBLEM 3 Calculate the line integral of the function from the origin to the point (2,2,2)...
PROBLEM 3 Calculate the line integral of the function from the origin to the point (2,2,2) by three different routs: 1 (0,0,0)- (2,0,0)(2,2.0) (2.2.2) 2. (0, 0,0)-(0,0, 2)(0, 2,2)- (2, 2, 2) 3. the straight line (0, 0,0) (2, 2,2) 4. What is the line integral around the closed loop that goes out along path 1) and returns back along path (2)?
number 2 please Q3 1) Three point charges, Qı Q2, and Q3, are on the corners...
number 2 please
Q3 1) Three point charges, Qı Q2, and Q3, are on the corners of an equilateral triangle with sides of length 1 as shown. What is the magnitude of the total electric force on charge (3? Q2 160° x = -1/2 x= 1/2 2) Consider the charges shown in question 1. If Q3 is released from rest starting at the position shown, what is the kinetic energy of this charge when it reaches the origin? Consider only...
1. Three point charges, qi, q2, and qa carry same amount of charge, +Q each, are...
1. Three point charges, qi, q2, and qa carry same amount of charge, +Q each, are located on x-axis in a vacuum. Their coordinate are (1,1), (3,1), and Find the resultant force acting on each of the point charges in term of Q. 2. Four point charges are placed at the corner of a square plate. q1, q2, and q3 are positively charged particles and e is an electron. Find the resultant force acting on q3 if the area of...
Q2; -r ㄒㄧㄧㄧㄧ-r r . | | Each grid square is 0.5 x 0.5 meters Q1....
Q2; -r ㄒㄧㄧㄧㄧ-r r . | | Each grid square is 0.5 x 0.5 meters Q1. What is the vector F(going, from the charge to point P) for each charge? (Draw on your printed sheet and write the expressions for these vectors below.) Q2. Draw the vector for each of the charges to point P and label them (1, 2, 3, depending on the charge). Q3. What is the vector expression for T for each charge (remember f helpful for...
can you please write every step A point charge qı- 3 uC is at the origin,...
can you please write every step
A point charge qı- 3 uC is at the origin, and another point charge q2 with charge -5C is on the x-axis at x = 4 m. (1) Find the electric field E along X axis, Y axis, and total E at the point P (4 m, 3 m) due to the two charges. Leto be the field from qı and E be the field from 42. (2)You may use the fact that K...
4.2 Five identical 15-uC point charges are located at the center and corners of a square...
4.2 Five identical 15-uC point charges are located at the center and corners of a square defined by -1 <x,y <1, 0. (a) Find the force on the 10-uC point charge at (0, 0, 2). (b) Calculate the electric field intensity at (0. 0, 2) lu located t (43 and (2, 0,1 If
2. (30 marks] Consider the system shown in Fig. 1. Find the output y(t) for the...
2. (30 marks] Consider the system shown in Fig. 1. Find the output y(t) for the following h(t) and r(t) using the convolution integral. x(r) y(r) h(t) Figure 1: System for Q2 1.5 2t33 0 otherwise h(t)=2rect(-3.5) x(t) = h(t) = 2 rect (-3 -
Q.4 [8 marks] Consider the Markov chain with the following transition diagram 1 0.5 0.5 0.5 0.5 0.5 2 3 0.5 (a) Write down the transition matrix of the Markov chain 1 marks 2 marks (b) Compute the two step transition matrix of the Markov chain (c) What is the state distribution T2 for t = 2 if the initial state distribution for 2 marks t 0 is o (0.1, 0.5, 0.4)T? 3 marks (d) What is the average time...
Calculate the work done by the force F= (x-2y)i+(x+y)j in a) 2. moving from point A at (0,2) to point B at (2,18) along the path y 4x2+2. [5 marks] - Evaluate the line integral(xdy+ydx) along a path C that is b) [5 marks] to t described by x= cos(f), y=2sin(t)+5, from t =: 2
Calculate the work done by the force F= (x-2y)i+(x+y)j in a) 2. moving from point A at (0,2) to point B at (2,18) along the...
Q2 (a) Given the signal x(t) and system h(t) as presented in Figure Q2(a). Determine the output y(t) using the graphical representation of convolution integral. (7 marks) x(1) h(t) 1 e-'u(t) e-2 (1) 0 Figure Q2(a) Q2 (b) Consider a system as shown in Figure Q2(b). t2 - 1 x(t) y(t) Advance by 1 second Х Figure Q2(b) Find the input-output relation between x(t) and y(t). (i) (1 mark) Examine whether the system is time variant or time invariant. (5...
PROBLEM 3 Calculate the line integral of the function from the origin to the point (2,2,2) by three different routs: 1 (0,0,0)- (2,0,0)(2,2.0) (2.2.2) 2. (0, 0,0)-(0,0, 2)(0, 2,2)- (2, 2, 2) 3. the straight line (0, 0,0) (2, 2,2) 4. What is the line integral around the closed loop that goes out along path 1) and returns back along path (2)?
number 2 please
Q3 1) Three point charges, Qı Q2, and Q3, are on the corners of an equilateral triangle with sides of length 1 as shown. What is the magnitude of the total electric force on charge (3? Q2 160° x = -1/2 x= 1/2 2) Consider the charges shown in question 1. If Q3 is released from rest starting at the position shown, what is the kinetic energy of this charge when it reaches the origin? Consider only...
1. Three point charges, qi, q2, and qa carry same amount of charge, +Q each, are located on x-axis in a vacuum. Their coordinate are (1,1), (3,1), and Find the resultant force acting on each of the point charges in term of Q. 2. Four point charges are placed at the corner of a square plate. q1, q2, and q3 are positively charged particles and e is an electron. Find the resultant force acting on q3 if the area of...
Q2; -r ㄒㄧㄧㄧㄧ-r r . | | Each grid square is 0.5 x 0.5 meters Q1. What is the vector F(going, from the charge to point P) for each charge? (Draw on your printed sheet and write the expressions for these vectors below.) Q2. Draw the vector for each of the charges to point P and label them (1, 2, 3, depending on the charge). Q3. What is the vector expression for T for each charge (remember f helpful for...
can you please write every step
A point charge qı- 3 uC is at the origin, and another point charge q2 with charge -5C is on the x-axis at x = 4 m. (1) Find the electric field E along X axis, Y axis, and total E at the point P (4 m, 3 m) due to the two charges. Leto be the field from qı and E be the field from 42. (2)You may use the fact that K...
4.2 Five identical 15-uC point charges are located at the center and corners of a square defined by -1 <x,y <1, 0. (a) Find the force on the 10-uC point charge at (0, 0, 2). (b) Calculate the electric field intensity at (0. 0, 2) lu located t (43 and (2, 0,1 If
2. (30 marks] Consider the system shown in Fig. 1. Find the output y(t) for the following h(t) and r(t) using the convolution integral. x(r) y(r) h(t) Figure 1: System for Q2 1.5 2t33 0 otherwise h(t)=2rect(-3.5) x(t) = h(t) = 2 rect (-3 -
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