MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Textbook Question
Chapter 1, Problem 26P
The current in a series RCL circuit is given by:
Where
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The voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR, where I is the current (in amps) flowing through the circuit
and Ris the resistance (in ohms). If we place two circuits, with resistance R1 and R2, in parallel, then their combined resistance, R, is
1
1
1
given by -
R
Suppose the current is 6 amps and increasing at 10-2 amp/sec and R1 is 6 ohms and increasing at 0.6
+
R1
R2
ohm/sec, while R2 is 7 ohms and decreasing at 0.1 ohm/sec. Calculate the rate at which the voltage is changing.
Round your answer to three decimal places.
volts/sec
The voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR, where I is the current (in amps) flowing through the circuit
and R is the resistance (in ohms). If we place two circuits, with resistance R1 and R2, in parallel, then their combined resistance, R, is
1 1
1
given by -
R
Suppose the current is 6 amps and increasing at 10-2 amp/sec and Ri is 8 ohms and increasing at 0.9
R2
R1
ohm/sec, while R2 is 7 ohms and decreasing at 0.7 ohm/sec. Calculate the rate at which the voltage is changing.
Round your answer to three decimal places.
volts/sec
The voltage, V (in volts), across a circuit is given by Ohm's law: V = IR, where I is the current (in amps) flowing through the circuit and R is the resistance (in
ohms). If we place two circuits, with resistance R₁ and R₂, in parallel, then their combined resistance, R, is given by
1
1
+
R R₁
volts/sec
=
1
R₂
Suppose the current is 5 amps and increasing at 0.02 amps/sec and R₁ is 3 ohms and increasing at 0.4 ohms/sec, while R₂ is 4 ohms and decreasing at 0.3
ohms/sec. Calculate the rate at which the voltage is changing.
HINT. Using the Chain Rule, you have to find the partial derivatives of R with respect to R₁ and R₂, and before that you have to express R in terms of R₁ and
R₂ using the given relation between them.
Alternatively, you can use this trick, which introduces new, auxiliary variables and, therefore, makes the dependence tree bigger, but, on the other hand, makes
the calculations very simple.
Namely, introduce the conductivities C = 1/R, C₁ = 1/R₁ and C₂ = 1/R₂. Then the…
Chapter 1 Solutions
MATLAB: An Introduction with Applications
Ch. 1 - Prob. 1PCh. 1 - Calculate: (a) 8+802.6+e3.53 (b)...Ch. 1 - Calculate: (a) 23+453160.7+log10589006 (b)...Ch. 1 - Calculate: (a) 3.822.754125+5.2+1.853.5 (b)...Ch. 1 - Calculate: (a)sin0.2cos/6+tan72 (b)...Ch. 1 - Define the varialbe z as z = 4.5; than evaluate:...Ch. 1 - Define the variable t as t= 3.2; then evalute: (a)...Ch. 1 - Define the variable xandy as x = 6.5 and y = 3.8;...Ch. 1 - Define the variables a, b, c, and d as: c= 4.6, d...Ch. 1 - Two trigonometric identities are given by: (a)...
Ch. 1 - Two trigonometric identities are given by: (a)...Ch. 1 - Define two variables: alpha =8, and beta = 6....Ch. 1 - Given: x2cosxdx=2xcosx+x22sinx . Use MATLAB to...Ch. 1 - A rectangular box has the dimensions shown. (a)...Ch. 1 - The are length of a segment of a parabola ABC is...Ch. 1 - The three shown circles, with radius 15 in., 10.5...Ch. 1 - A frustum of cone is filled with ice cream such...Ch. 1 - 18. In the triangle shown a =27 in., b 43 in.,...Ch. 1 - For the triangle shown, a = 72°, ß=43°, and its...Ch. 1 - The distance d from a point P (xp,yp,zp) to the...Ch. 1 - The perimeter of an ellipse can be approximated...Ch. 1 - A total of 4217 eggs have w be packed in boxes...Ch. 1 - A total of 777 people have to be transported using...Ch. 1 - Change the display to format long g. Assign the...Ch. 1 - The voltage difference Vabbetween points a and b...Ch. 1 - The current in a series RCL circuit is given by:...Ch. 1 - The monthly payment M of a mortgage P for n years...Ch. 1 - The number of permutations nProf taking r Objects...Ch. 1 - The number of combinations Cn,r of taking r...Ch. 1 - The equivalent resistance of two resistors R1and...Ch. 1 - The output voltage Voutin the circuit shown is...Ch. 1 - Radioactive decay of carbon-14 is used for...Ch. 1 - The greatest common divisor is the largest...Ch. 1 - The amount of energy E (in joules) that is...Ch. 1 - According to the Doppler effect of light, the...Ch. 1 - Newton’s law of cooling gives the temperature T(t)...Ch. 1 - The velocity v and the falling distance d as a...Ch. 1 - Use the Help Window to find a display format that...Ch. 1 - Gosper’s approximation for factorials is given by:...Ch. 1 - According to Newton’s law of universal...
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- The voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR, where I is the current (in amps) flowing through the circuit and Ris the resistance (in ohms). If we place two circuits, with resistance R1 and R2, in parallel, then their combined resistance, R, is 1 1 1 given by - R Suppose the current is 5 amps and increasing at 10-2 amp/sec and Rị is 6 ohms and increasing at 0.8 R2 R1 ohm/sec, while R2 is 5 ohms and decreasing at 0.4 ohm/sec. Calculate the rate at which the voltage is changing. Round your answer to three decimal places. volts/secarrow_forwardThe voltage, V, (in volts) across a circuit is given by Ohm's law: V = IR, where I is the current (in amps) flowing through the circuit and Ris the resistance (in ohms). If we place two circuits, with resistance R and R2, in parallel, then their combined resistance, R, is given by R R1 Suppose the current is 5 amps and increasing at 107 amp/sec and R is 6 ohms and increasing at 0.4 R2 ohm/sec, while R2 is 5 ohms and decreasing at 0.1 ohm/sec. Calculate the rate at which the voltage is changing. The absolute tolerance is + 0.001. three decimal places. volts/secarrow_forward
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