VGMVG LevelFyBCh20 21NVC08+Magnetism,+Magnetic+Induction,+AC

8/3/2019 VGMVG LevelFyBCh20 21NVC08+Magnetism,+Magnetic+Induction,+AC

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VG/MVG-LevelFyBCh20-21NVC08 Magnetism & Magnetic Induction NV-College

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FyBCh20-21NVC08

VG/MVG-Level Test On Magnetism and Magnetic InductionInstructions:

The Test Warning! There are more than one version of the test.

Tools Approved formula sheets, ruler, and graphic calculator. You may use your personalized

formula booklet which has your name on it. This should be submitted along with the

test.

Time: 10:40-12:05;

The multi-choice problems must be answered on the this paper. The solutions to each

question must also be answered in the space provided. Only, if you need additional

space you may write your solutions in an additional page that will be provided if

needed.

Limits: There are 6 problems in this test and it gives at maximum 27 points, 17 of which areVG points. Problems number 4, 5 and 6 are of the greatest important for MVG.

Pass (G): minimum 9 points

VG: G+ in the G test. V/MVG test: Minimum of total 18 points , 6 of which are VG points

MVG: G+ in the G test. V/MVG test: Minimum of total 21 points , 12 of which are VG points

and MVG ¤ quality in all problems specially on the problems 4, 5 and 6.

Name: Student Number: Grade

Please answer as clear as possible. Do not forget the UNITS! Enjoy it! Behzad

B LRC emf Gener. LR Ind. t I ind Induct Summin

G min

VG min

MVG

1 2a 2b 3 4 5a 5b 6a 6b 27 9 18 21

G 1 1 1 1 0 1 2 2 1 10

VG 2 1 1 2 3 3 1 1 3 17 6 12

MVG 1235¤ M25¤ 1235¤ M1235¤

G

VG

MVG

MVG- quality ¤ Prob. 4 Prob. 5 Prob. 6 OtherProblems

M1 Formulates and develops the problem, uses

general methods with problem solving.

M2 Analyses and interprets the results, concludesand evaluates if they are reasonable.

M3 Carries out mathematical proof, or analysesmathematical reasoning.

M4 Evaluates and compares different methodsand mathematical models.

M5 The presentation is structured, andmathematical language is correct.





1. In the accompanied figure the

graph of a uniform magnetic

field, t B through a conducting

loop is plotted as a function of

time. The direction of themagnetic field is perpendicular to

the plane of the loop. Rank the

six regions of the graph

according to the magnitude of

emf induced in the loop, the

smallest first. Why? Explain.[1/2]

0

20

40

60

80

100

120

140

0 3 6 9 12 15 18 21 24 27 30

t [s]

B [ m T ]

Region

Time

2. A resistor, a capacitor, and an inductor are connected in series to an AC power source

of frequency f . The effective voltages across the circuit components are V V R 0.12 ,

V V C 0.18 , and V V L 0.14 .

a. Find the effective voltage of the source. [1/1]

b. Find the phase angle in the circuit. [1/1]





3. The armature of a Hz50 ac generator rotates in a T 25.0 magnetic field. If the area

of the coil is 2400 cm . How many loops must the coil contain if the peak output is to

be V .3000 ? [1/2]

4. The potential difference across a given coil is V 5.22 at an instant when current is

mA860 and is increasing at a rate s A / 40.3 . At a later instant, the potential

difference is V 2.16 whereas the current is mA700 and is decreasing at a rate of s A / 80.1 . Determine the inductance and resistance of the coil. [0/3/ M1235¤ ]





5. In the accompanied figure a conducting

circular metallic loop of diameter

cm0.50 , and resistance 00.5 is

illustrated. As shown in the figure, fifty

percent of the figure, i.e. the half-circle

lies in a uniform magnetic field t B

that is directed out of the page of the

paper and towards the reader of these

words. The magnitude of the magnetic

field is a quadratic function of time and

may be expressed as

T t t t B 00.900.300.52

The magnetic field B is in Tesla and

time t in seconds. An ideal battery with

emf V ba t 00.9 is connected to the

loop as illustrated in the figure.

a. Find the direction and magnitude of the induced current in the metallic circular

loop by t B

as a function of time t . [1/3]

b. Calculate the direction and magnitude of the current in the loop at st 0.10 ?

Explain. [2/1/ M25¤ ]

B









6. As illustrated in the accompanying figure a

kg00.3 metallic rod of length cm0.10 is placed on

two long parallel conductor rails which may be

assumed resistance free. The conductors are connected

in series to a 250.0 resistor. As shown in the figure

a uniform magnetic field of magnitude T 50.2 is

directed out of the page. The bar is in a good contact

with the conductor rails. The metallic bar is given an

initial velocity sm / 00.9 . The friction coefficient

between the rails and the metallic bar is 045.0 .

a. Find the magnitude and direction of the

induced current in the loop immediately after it

is shot in the direction as illustrated in the

figure, i.e. towards the top of the page. [2/1]

b. Find the deceleration of the bar at the point its

velocity is dropped to sm / 00.6 .

[1/3/M1235¤]





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VGMVG LevelFyBCh20 21NVC08+Magnetism,+Magnetic+Induction,+AC