1. Two electric fields of magnitudes 3 N/C and 4 N/C act in the same direction at a point. What is the resultant electric field?
A.
1 N/C
B.
7 N/C
C.
12 N/C
D.
4 N/C
Correct Answer:
7 N/C
Explanation:
For fields acting in the same direction, their magnitudes are added. Thus, the resultant field is 3 + 4 = 7 N/C.
2. Two electric fields of magnitudes 8 N/C and 3 N/C act in opposite directions at a point. What is the magnitude of the resultant electric field?
A.
5 N/C
B.
11 N/C
C.
24 N/C
D.
3 N/C
Correct Answer:
5 N/C
Explanation:
For oppositely directed fields, the smaller magnitude is subtracted from the larger magnitude. The resultant is 8 - 3 = 5 N/C.
3. Two electric fields, each of magnitude 5 N/C, act in the same direction. What is their resultant field?
A.
0 N/C
B.
5 N/C
C.
10 N/C
D.
25 N/C
Correct Answer:
10 N/C
Explanation:
Since the two equal fields point in the same direction, their vector magnitudes are added: 5 + 5 = 10 N/C.
4. Two electric fields of 6 N/C and 8 N/C are perpendicular to each other. What is the magnitude of their resultant field?
A.
2 N/C
B.
10 N/C
C.
14 N/C
D.
48 N/C
Correct Answer:
10 N/C
Explanation:
For perpendicular vectors, the resultant magnitude is found using the Pythagorean theorem: √(6² + 8²) = √100 = 10 N/C.
5. An electric field of 10 N/C acts eastward and another field of 4 N/C acts westward. What is the direction of the resultant field?
A.
Eastward
B.
Westward
C.
Northward
D.
There is no resultant field
Correct Answer:
Eastward
Explanation:
The eastward field is larger than the westward field, so the resultant points in the direction of the larger field, namely eastward.
6. If two electric field vectors at a point are equal in magnitude and opposite in direction, what is their resultant electric field?
A.
Twice either field
B.
Equal to one field
C.
Zero
D.
Half of one field
Correct Answer:
Zero
Explanation:
Equal vectors in opposite directions cancel each other through vector addition, giving a resultant electric field of zero.
7. Two electric fields of magnitudes 3 N/C and 4 N/C act at right angles. What is the angle between the resultant field and the 4 N/C field?
A.
30 degrees
B.
37 degrees
C.
45 degrees
D.
60 degrees
Correct Answer:
37 degrees
Explanation:
Taking the 4 N/C field as the adjacent component, tan θ = 3/4. Therefore, θ is approximately 37 degrees.
8. Three electric field vectors of 2 N/C each act in the same direction at a point. What is the resultant field?
A.
2 N/C
B.
4 N/C
C.
6 N/C
D.
8 N/C
Correct Answer:
6 N/C
Explanation:
When all three vectors point in the same direction, their magnitudes add directly: 2 + 2 + 2 = 6 N/C.
9. An electric field of 7 N/C acts northward and another field of 7 N/C acts southward. What is the resultant electric field?
A.
14 N/C northward
B.
14 N/C southward
C.
7 N/C northward
D.
Zero
Correct Answer:
Zero
Explanation:
The two fields have equal magnitudes and opposite directions, so their vector sum is zero.
10. Two electric field vectors have magnitudes 5 N/C and 12 N/C and act perpendicular to each other. What is the magnitude of their resultant field?
A.
7 N/C
B.
13 N/C
C.
17 N/C
D.
60 N/C
Correct Answer:
13 N/C
Explanation:
For perpendicular fields, the resultant is √(5² + 12²) = √169 = 13 N/C.
Short questions are currently unavailable for this page.