Ans.)
Using krichhoff voltage law in given circuit we get:-
16-12 = 5i + i + 2i + 4i
4 = 12i
I = (1/3) amp
V1 = 12 (_cell voltage_) + (_voltage droped_) 1*(1/3)
V1 = 12 + 1/3 = (37/3) volt
V2 = 5(ohm)*i
V2 = 5*(1/3) = 5/3 volt
Similarly V3 = ( 2/3) volt
total resistance = 12 ohms
R1= 24.8 ohms R2= 13.9 ohms R3= 25.5 ohms V1= 5 volts V2= 11.9 volts V3= 9.1 volts What is the current through the 13.9 ohm resistor? R1 V1 V2 R2 V3 R3
In the circuit below, V1 = 2 Volts, V2 = 10 Volts, V3 = 46 Volts, V4 =3 Volts, and R3 = 5 Ohms. Battery 1 (V1) is chosen to the guess the initial current directions as discussed in the procedure in the Powerpoint and in class and main current is the current through V1, current 1 is the current through V2, and current 2 is the current through battery 3. If the correct loop equations are solved correctly, the...
I want only the equations in term of v1 ,v2,v3 I know v1&v3node but v2 I think it cant be a node
Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in span(V1, V2, V3) such that (V1, V1) = 51, (V2, V2) = 638, (V3, V3) = 36, (w, V1) = 153, (w, v2) = 4466, (w, V3) = -36, then W = _______ V1 + _______ V2+ _______ V3.
Draw a picture of the graph with vertices {v1, v2, v3} and edges {(v1, v1), (v1, v2), (v2, v3), (v2, v1), (v3, v1)}. (2 Points)
1) Determine if w is in the subspace spanned by v1, v2, v3 2) Are the vectors v1, v2, v3 linearly dependent or independent? justify your answer Question 2. (15 pts) Let vi=(-3 0 6)", v2= (-2 2 3]", V3= (0 - 6 37, and w= [1 11 9". (1). Determine if w is in the subspace spanned by V1, V2, V3. (2). Are the vectors V1, V2, V3 linearly dependent or independent? Justify your answer
Let V1 = (1,2,0)^T, V2 = (2,4,2)^T, and V3 = (0,2,7)T and A = [V1,V2,V3] 5) (20 points) Let vi = (1,2,0)T, v2 = (2,4, 2)T and v3 = (0, 2.7)T and A- [v1, v2, v3 a) Find an orthonormal basis for the Col(A) b) Find a QR factorization of A. c) Show that A is symmetric and find the quadratic form whose standard matrix is A
Let H = Span{V1, V2} and K = Span{V3,V4}, where V1, V2, V3, and V4 are given below. 1 V1 V2 V4 - 10 7 9 3 -6 Then Hand K are subspaces of R3. In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. W= [Hint: w can be written as C1 V2 + c2V2 and also as c3 V3...
current controlled voltage source 2i R2 V3 EV1 V2 R1 In the circuit above V1 = 86V,V2=96 V, 11-7AR1:39 ? and R2 : 35 ?. Use nodal analysis to find the voltage at node A in the circuit above. Note the presence of a dependent voltage source V3 Voltage across that source is 2i. i is the current through the resistor R2 and the source V2
חו (1 point) Suppose V1, V2, V3 is an orthogonal set of vectors in R Let w be a vector in span(V1, V2, V3) such that (v1,vi) = 24, (v2,v2) = 21, (V3, V3) = 9, (w,v) 120, (w, v2) = 147, (w,v3) -36, Vi+ V2+ then w= V3.