COLLEGE PHYSICS V1+WEBASSIGN MULTI-TERM
11th Edition
ISBN: 9780357683538
Author: SERWAY
Publisher: CENGAGE L
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Chapter 18, Problem 9P
To determine
The resistance of the individual resistor.
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Draw a right-handed 3D Cartesian coordinate system (= x, y and z axes). Show a vector A with
tail in the origin and sticking out in the positive x, y and z directions. Show the angles between A
and the positive x, y and z axes, and call these angles α₁, α₂ and α3
Prove that Ax Acos α₁
Ay
= Acos α₂
A₂- Acos α3
solve for Vo
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
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C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Chapter 18 Solutions
COLLEGE PHYSICS V1+WEBASSIGN MULTI-TERM
Ch. 18.1 - True or False: While discharging, the terminal...Ch. 18.1 - Why does a battery get warm while in use?Ch. 18.2 - In Figure 18.5, the current is measured with the...Ch. 18.2 - The circuit in Figure 18.5 consists of two...Ch. 18.3 - In Figure 18.8, the current is measured with the...Ch. 18.3 - When the switch is open in Figure 18.8, power Po...Ch. 18.3 - Suppose you have three identical lightbulbs, some...Ch. 18.3 - If the lightbulbs in Quick Quiz 18.7 are connected...Ch. 18.5 - The switch is closed in Figure 18.20. After a long...Ch. 18 - Choose the words that make each statement correct....
Ch. 18 - Given three lightbulbs and a battery, sketch as...Ch. 18 - Suppose the energy transferred to a dead battery...Ch. 18 - A short circuit is a circuit containing a path of...Ch. 18 - Electric current I enters a node with three...Ch. 18 - If electrical power is transmitted over long...Ch. 18 - The following statements are related to household...Ch. 18 - Two sets of Christmas lights are available. For...Ch. 18 - Why is it possible for a bird to sit on a...Ch. 18 - An uncharged series RC circuit is to be connected...Ch. 18 - Suppose a parachutist lands on a high-voltage wire...Ch. 18 - A ski resort consists of a few chairlifts and...Ch. 18 - Embodied in Kirchhoffs rules are two conservation...Ch. 18 - Why is it dangerous to turn on a light when you...Ch. 18 - A battery haring an emf of 9.00 V delivers 117 mA...Ch. 18 - Prob. 2PCh. 18 - A battery with an emf of 12.0 V has a terminal...Ch. 18 - A battery with a 0.100- internal resistance...Ch. 18 - Two resistors, R1 and R2 are connected in series....Ch. 18 - Three 9.0- resistors are connected in series with...Ch. 18 - (a) Find the equivalent resistance between points...Ch. 18 - Consider the combination of resistors shown in...Ch. 18 - Prob. 9PCh. 18 - Consider the circuit shown in Figure P18.10. (a)...Ch. 18 - Consider the circuit shown in Figure P18.11. Find...Ch. 18 - Four resistors are connected to a battery as shown...Ch. 18 - The resistance between terminals a and b in Figure...Ch. 18 - A battery with = 6.00 V and no internal...Ch. 18 - Find the current in the 12- resistor in Figure...Ch. 18 - (a) Is it possible to reduce the circuit shown in...Ch. 18 - (a) You need a 45- resistor, but the stockroom has...Ch. 18 - (a) Find the current in each resistor of Figure...Ch. 18 - Figure P18.19 shows a Wheatstone bridge, a circuit...Ch. 18 - For the circuit shown in Figure P18.20, calculate...Ch. 18 - Taking R = 1.00 k and = 250 V in Figure P18.21,...Ch. 18 - In the circuit of Figure P18.22, the current I1 is...Ch. 18 - In the circuit of Figure P18.23, determine (a) the...Ch. 18 - Four resistors are connected to a battery with a...Ch. 18 - Using Kirchhoffs rules (a) find the current in...Ch. 18 - Figure P18.26 shows a voltage divider, a circuit...Ch. 18 - (a) Can the circuit shown in Figure P18.27 be...Ch. 18 - A dead battery is charged by connecting it to the...Ch. 18 - (a) Can the circuit shown in Figure P18.29 be...Ch. 18 - For the circuit shown in Figure P18.30, use...Ch. 18 - Find the potential difference across each resistor...Ch. 18 - Show that = RC has units of time.Ch. 18 - Consider the series RC circuit shown in Figure...Ch. 18 - An uncharged capacitor and a resistor are...Ch. 18 - Consider a series RC circuit as in Figure P18.35...Ch. 18 - The RC charging circuit in a camera flash unit has...Ch. 18 - Figure P18.37 shows a simplified model of a...Ch. 18 - The capacitor in Figure P18.35 is uncharged for t ...Ch. 18 - What minimum number of 75-W light bulbs must be...Ch. 18 - A 1 150-W toaster and an 825-W microwave oven are...Ch. 18 - Prob. 41PCh. 18 - Prob. 42PCh. 18 - Assume a length of axon membrane of about 0.10 m...Ch. 18 - Consider the model of the axon as a capacitor from...Ch. 18 - Prob. 45PCh. 18 - How many different resistance values can be...Ch. 18 - (a) Calculate the potential difference between...Ch. 18 - For the circuit shown in Figure P18.48, the...Ch. 18 - Figure P18.49 shows separate series and parallel...Ch. 18 - Three 60.0-W, 120-V lightbulbs are connected...Ch. 18 - When two unknown resistors are connected in series...Ch. 18 - The circuit in Figure P18.52a consists of three...Ch. 18 - A circuit consists of three identical lamps, each...Ch. 18 - The resistance between points a and b in Figure...Ch. 18 - The circuit in Figure P18.55 has been connected...Ch. 18 - Prob. 56APCh. 18 - The student engineer of a campus radio station...Ch. 18 - The resistor R in Figure P18.58 dissipates 20 W of...Ch. 18 - A voltage V is applied to a series configuration...Ch. 18 - For the network in Figure P18.60, show that the...Ch. 18 - A battery with an internal resistance of 10.0 ...Ch. 18 - The circuit in Figure P18.62 contains two...Ch. 18 - An electric eel generates electric currents...Ch. 18 - In Figure P18.64, R1 = 0.100 , R2 = 1.00 , and R3...Ch. 18 - What are the expected readings of the ammeter and...Ch. 18 - Consider the two arrangements of batteries and...Ch. 18 - The given pair of capacitors in Figure P18.67 is...Ch. 18 - 2.00-nF capacitor with an initial charge of 5.10 C...
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