O-Level Physics: Resistance Questions Answered

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In O-Level Physics, a bulb lights brighter when resistance is lower, as this allows more current to flow. For filament bulbs, current is not directly proportional to resistance due to the temperature dependence of the filament. Current is directly proportional to resistance in ohmic materials, while it is inversely proportional in non-ohmic materials like thermistors. The relationship between voltage and resistance is typically direct in ohmic conductors and inverse in non-ohmic scenarios. Understanding these principles is crucial for solving related physics problems effectively.
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Well, these question are concerned with O-Level Physics.

- A bulb lights brighter when resistance is higher or lower?

- What about bulbs with filaments and thermistors?

- Is current directly proportional to resistance for filament lamps?

- When does current is directly proportional to resistance?

- When does current is inversely proportional to resistance?

- What is the relation between voltage and resistance (inversely, directly proportional)

Thanks.
 
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So what are your thoughts on how to solve them?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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