please solve question 4 only 6. Over a certain region of space, the electric potential function is V = 5x - 3x² y + 2 y 2².What is the electric field at the point P, which has coordinates (1,1,1).C. -5i+]A. 67-2B.-J+kD. 1+)-4k7. A rod of length L lies along the y-axis with its end at the origin. It has a nonuniformcharge density λ=ay. The electric potential at point A is (a is constant)½kxA. V =dxB. V =-dy+XAkaxC. V =d+xLkayD. V = [ dyd+y8. A wire of 2 mm² cross-sectional area and 1.3 cm long contains 2 x10 electrons. It has a102 resistance. What is the drift velocity of the charges in the wire when 5 Volts batteryis applied across it?A. 2 x 10 m/sB. 7.8 x 10 m/sC. 1.6 x 10-3 m/sD. 3.9 x 10 m/s9. A toaster is rated at 550 W when connected to a 220 V source. What current does thetoaster carry?C. 3.0 AB. 2.5AD. 3.5AA 20A10. What does it cost to cook a chicken for 2 hours in an oven that operates at 20 Ampere and220 Volt if the electric company charge 40 fils per kWhD. 176 FilsC. 352 FilsB. 528 FilsA. 264 Fils11. The quantity of charge q (in coulombs) that has passed through a surface varies with timeaccording to the equation q=t+St+6, where 1 is in seconds. What is theinstantaneous current through the surface at t = 1.00 s?D. 9AC. 7AB. 13 AA. 17 A12. A circuit has 4 capacitors of equal capacitance Ca = 30 pF. What is the equivalentcapacitance Ce of the circuit?SÇA. 40 pFB. 30 µFC. 20 pFD. 50 pF17E. 10 pF00d+xkydx The first three questions are about the following situation:The following circuit contains three capacitors C₁ = 20 μF, C₂ = 8 μF, and C₂ = 12 μPconnected to a battery with an unknown emf e. The charge on capacitor C₁is Q₁ = 14 μC.1. What is the equivalent capacitance Ceq of the circuit?thaA. 7.5 x 10-6 FB. 8.0 x 10-6 FC. 10.0 x 10-6 FD. 12.0 x 10-6 FE2. How much energy is stored on capacitor C₁?C₂C3A. 4.9 x 10-6JB. 3.0 x 10-6 JC. 2.5 x 10-61D. 4.5 x 10-6 J3. What is the charge Q₂ on capacitor C₂?A. 9.0 x 10-6CB. 3.3 x 10-6CC. 4.5 x 10-6 CD. 5.6 x 10-C4. A parallel-plate capacitor has plates of dimensions 2.0 cm by 3.0 cm separated by a 1.0-mm thickness of dielectric material (k=11.1), what is its capacitance?B. 40 pFA. 20 pFC. 60 pFD. 80 pF5. A spherical liquid drop of radius R has a capacitance of C= 4ne, R. If two such dropscombine to form a single larger drop, what is its capacitance?A. 2 CB. CC. 1.26 CD. 1.46 C

Answered: Image /qna-images/answer/2e539714-b0e4-4f99-beaf-2f68e85f7956.jpg

Answered: 4. A parallel-plate capacitor has…

4. A parallel-plate capacitor has plates of dimensions 2.0 cm by 3.0 cm separated by a 1.0- mm thickness of dielectric material (k= 11.1), what is its capacitance? A. 20 pF B. 40 pF C. 60 pF D. 80 pF

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

please solve question 4 only

6. Over a certain region of space, the electric potential function is V = 5x - 3x² y + 2 y 2².
What is the electric field at the point P, which has coordinates (1,1,1).
C. -5i+]
A. 67-2
B.-J+k
D. 1+)-4k
7. A rod of length L lies along the y-axis with its end at the origin. It has a nonuniform
charge density λ=ay. The electric potential at point A is (a is constant)
½kx
A. V =
dx
B. V =
-dy
+X
A
kax
C. V =
d+x
L
kay
D. V = [ dy
d+y
8. A wire of 2 mm² cross-sectional area and 1.3 cm long contains 2 x10 electrons. It has a
102 resistance. What is the drift velocity of the charges in the wire when 5 Volts battery
is applied across it?
A. 2 x 10 m/s
B. 7.8 x 10 m/s
C. 1.6 x 10-3 m/s
D. 3.9 x 10 m/s
9. A toaster is rated at 550 W when connected to a 220 V source. What current does the
toaster carry?
C. 3.0 A
B. 2.5A
D. 3.5A
A 20A
10. What does it cost to cook a chicken for 2 hours in an oven that operates at 20 Ampere and
220 Volt if the electric company charge 40 fils per kWh
D. 176 Fils
C. 352 Fils
B. 528 Fils
A. 264 Fils
11. The quantity of charge q (in coulombs) that has passed through a surface varies with time
according to the equation q=t+St+6, where 1 is in seconds. What is the
instantaneous current through the surface at t = 1.00 s?
D. 9A
C. 7A
B. 13 A
A. 17 A
12. A circuit has 4 capacitors of equal capacitance Ca = 30 pF. What is the equivalent
capacitance Ce of the circuit?
S
Ç
A. 40 pF
B. 30 µF
C. 20 pF
D. 50 pF
17
E. 10 pF
0
0
d+x
ky
dx

The first three questions are about the following situation:
The following circuit contains three capacitors C₁ = 20 μF, C₂ = 8 μF, and C₂ = 12 μP
connected to a battery with an unknown emf e. The charge on capacitor C₁is Q₁ = 14 μC.
1. What is the equivalent capacitance Ceq of the circuit?
tha
A. 7.5 x 10-6 F
B. 8.0 x 10-6 F
C. 10.0 x 10-6 F
D. 12.0 x 10-6 F
E
2. How much energy is stored on capacitor C₁?
C₂
C3
A. 4.9 x 10-6J
B. 3.0 x 10-6 J
C. 2.5 x 10-61
D. 4.5 x 10-6 J
3. What is the charge Q₂ on capacitor C₂?
A. 9.0 x 10-6C
B. 3.3 x 10-6C
C. 4.5 x 10-6 C
D. 5.6 x 10-C
4. A parallel-plate capacitor has plates of dimensions 2.0 cm by 3.0 cm separated by a 1.0-
mm thickness of dielectric material (k=11.1), what is its capacitance?
B. 40 pF
A. 20 pF
C. 60 pF
D. 80 pF
5. A spherical liquid drop of radius R has a capacitance of C= 4ne, R. If two such drops
combine to form a single larger drop, what is its capacitance?
A. 2 C
B. C
C. 1.26 C
D. 1.46 C

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