In one region of space the electric potential has a positive constant value. In another region of space the potential has a negative constant value. What can be said about the electric field within each of these two regions of space?
In one region of space the electric potential has a positive constant value. In another region of space the potential has a negative constant value. What can be said about the electric field within each of these two regions of space?
In one region of space the electric potential has a positive constant value. In another region of space the potential has a negative constant value. What can be said about the electric field within each of these two regions of space?
Expert Solution & Answer
To determine
The electric field in each of the two given region of space.
Answer to Problem 1CQ
The electric field in both of the region is zero because the electric potential is constant in both the regions and the gradient of any constant quantity is zero.
Explanation of Solution
Write the expression for the electric field.
E=−ΔVΔs
Here,
E is the electric field at any point.
ΔV is the change in electric potential.
Δs is the change in the distance.
The gradient of a constant quantity is zero. So, when the electric potential in a region is constant then the electric field at that region is zero.
It is given that the electric potential in one region is positive constant value and in another region is negative constant value. So, the gradient of the electric potential is zero in both the region. Thus the electric field is zero in both the region.
Conclusion:
Therefore, the electric field in both of the region is zero because the electric potential is constant in both the regions and the gradient of any constant quantity is zero.
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PART III - RESISTORS IN PARALLEL
Consider (but do not yet build) the circuit shown in the circuit diagram
to the left, which we will call Circuit 3. Make sure you are using Bert
bulbs. You may want to wire two batteries in series rather than use a
single battery.
7. Predict:
a) How will the brightness of bulb B3A compare to the brightness
to bulb B3B?
c)
X
E
B3A
b) How will the brightness of bulb BзA compare to the brightness of bulb B₁ from Circuit 1?
How will the currents at points X, Y, and Z be related?
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d) How will the current at point X in this circuit compare to the current at point X from Circuit 1?
Y
Z
B3B
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PART II - RESISTORS IN SERIES
Consider (but do not yet build) the circuit shown in the circuit diagram to the left,
which we will call Circuit 2. Make sure you are using Bert bulbs. You may want
to wire two batteries in series rather than use a single battery.
4. Predict:
a) How will the brightness of bulb B₂ compare to the brighness to bulb
B2B?
X
B2A
E
Y
B2B
Ꮓ
b) How will the brightness of bulb B2A compare to the brightness of bulb B₁ from Circuit 1?
c) How will the currents at points X, Y, and Z be related?
d) How will the current at point X in this circuit compare to the current at point X from Circuit 1?
Campbell Essential Biology with Physiology (5th Edition)
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