Question

Which of these statements about resistance is true? Choose the best answer.

A. The greater the resistance, the easier it is for electricity to flow
B. The greater the resistance, the less thermal energy is produce.
C. The greater the resistance, the more electrical energy is produced.
D. The greater the resistance, the more electrical energy is produced.

Answer 1

This question is not worded in the best possible manner, nor is it specific enough. I also notice that C and D are duplicates.
The answer is B.

A is not true because regarding Ohm's law,
`V = IR`, where V=voltage, I=current, and R=resistance. If we hold Voltage as a constant, (which should be mentioned in the question if it was any good) than we can easily notice that
`(V)/(R) = I`, where I represents current. The larger
`I` is, the easier for electricity to flow. Clearly as resistance increases, current decreases, therefore A is not true.

B is true because of the same reason C (and D) is not true: the greater the resistance, the more power it creates. Again, holding Voltage, or V, as constant, the equation for finding the power (electrical power/energy) of a system is
`(V^2)/(R) = P`. We can notice here again that the greater R is, the less P is. The larger P is, the more energy is dissipated by the circuit. Therefore, since R is getting larger, P is getting smaller, and the amount of heat dissipated becomes less with R's increase.

C and D are not true because of what I explained in B, P gets smaller with R's increase.

Answer 2

'C' and 'D' are the same statement, and none of the 3 choices
is good.

Electrical energy is produced in a generator, a solar panel, or
a battery, not in things with resistance.

From the generator or battery, current flows through a circuit of
one or more components.

The greater the resistance of a component, the more energy is
LOST as the current flows through it. The component dissipates
the energy in the form of heat.