Select the correct conclusions from the comparison of the resistances of the res

Question

Select the correct conclusions from the comparison of the resistances of the resistor and the wire segments connecting the battery and the resistor.

1. The resistances of the wire segments connecting the battery and the resistor can be assumed negligible compared to the resistance of the resistor, therefore the potential differences across the wire segments are negligible compared to the potential difference across the resistor, and the electric field magnitudes inside the wire segments are negligible compared to the electric field magnitude in the resistor, so it can be claimed to a good approximation that Ea = 0 and Ec = 0 compared to the electric field magnitude in the resistor. 2. The resistance of the resistor can be assumed negligible compared to the resistances of the wire segments connecting the battery and the resistor, therefore the potential difference across the resistor is negligible compared to the potential differences across the wire segments, and the electric field magnitude in the resistor is negligible compared to the electric field magnitudes inside the wire segments, so it can be claimed to a good approximation that Ea = 0 and Ec = 0 compared to the electric field magnitude in the resistor.
3.The resistances of the wire segments connecting the battery and the resistor can be assumed negligible compared to the resistance of the resistor, therefore the potential difference across the resistor is negligible compared to the potential differences across the wire segments, and the electric field magnitude in the resistor is negligible compared to the electric field magnitudes inside the wire segments, so it can be claimed to a good approximation that Eb = 0 compared to the electric field magnitudes inside the wire segments
4.The resistance of the resistor can be assumed negligible compared to the resistances of the wire segments connecting the battery and the resistor, therefore the potential differences across the wire segments are negligible compared to the potential difference across the resistor, and the electric field magnitudes inside the wire segments are negligible compared to the electric field magnitude in the resistor, so it can be claimed to a good approximation that Eb = 0 compared to the electric field magnitudes inside the wire segments The wire connecting the positive battery terminal to the top end of the resistor is 100 mm long, and the wire connecting the negative battery terminal to the bottom end of the resistor is also 100 mm long. The resistor is 10mm long. Select the correct conclusions from the comparison of the resistances of the resistor and the wire segments connecting the battery and the resistor. 1. The resistances of the wire segments connecting the battery and the resistor can be assumed negligible compared to the resistance of the resistor, therefore the potential differences across the wire segments are negligible compared to the potential difference across the resistor, and the electric field magnitudes inside the wire segments are negligible compared to the electric field magnitude in the resistor, so it can be claimed to a good approximation that Ea = 0 and Ec = 0 compared to the electric field magnitude in the resistor. 2. The resistance of the resistor can be assumed negligible compared to the resistances of the wire segments connecting the battery and the resistor, therefore the potential difference across the resistor is negligible compared to the potential differences across the wire segments, and the electric field magnitude in the resistor is negligible compared to the electric field magnitudes inside the wire segments, so it can be claimed to a good approximation that Ea = 0 and Ec = 0 compared to the electric field magnitude in the resistor. 3.The resistances of the wire segments connecting the battery and the resistor can be assumed negligible compared to the resistance of the resistor, therefore the potential difference across the resistor is negligible compared to the potential differences across the wire segments, and the electric field magnitude in the resistor is negligible compared to the electric field magnitudes inside the wire segments, so it can be claimed to a good approximation that Eb = 0 compared to the electric field magnitudes inside the wire segments 4.The resistance of the resistor can be assumed negligible compared to the resistances of the wire segments connecting the battery and the resistor, therefore the potential differences across the wire segments are negligible compared to the potential difference across the resistor, and the electric field magnitudes inside the wire segments are negligible compared to the electric field magnitude in the resistor, so it can be claimed to a good approximation that Eb = 0 compared to the electric field magnitudes inside the wire segments

Explanation / Answer

Resistance of a wire is given by

R=pL/A

So from above equation Resistance is inversly proportional to length of the wire.so larger length results in less resistance and lesser length results in larger resistance ,

Electric field

E=V/L.,

Greater the length ,the lesser the electric field

so 1 is the right answer.

1. The resistances of the wire segments connecting the battery and the resistor can be assumed negligible compared to the resistance of the resistor, therefore the potential differences across the wire segments are negligible compared to the potential difference across the resistor, and the electric field magnitudes inside the wire segments are negligible compared to the electric field magnitude in the resistor, so it can be claimed to a good approximation that Ea = 0 and Ec = 0 compared to the electric field magnitude in the resistor.

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