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Physics · Electric Charges and Fields

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Consider the following statements regarding electric charge:\n Statement I: At the macroscopic scale, the quantisation of electric charge has no practical significance and charge can be treated as continuous.\n Statement II: A typical macroscopic charge of \( 1\,\mu\text{C} \) contains an enormous number of elementary charges (around \( 10^{13} \) times \( e \)), making the discrete grainy nature of charge unnoticeable.\nWhich of the following options is correct?

  1. Both Statement I and Statement II are correct
  2. Both Statement I and Statement II are incorrect
  3. Statement I is correct but Statement II is incorrect
  4. Statement I is incorrect but Statement II is correct

Correct answer · Option 1

Both Statement I and Statement II are correct

Explanation

At macroscopic levels, charge magnitudes involve huge multiples of \( e \) (\( 1\,\mu\text{C} \approx 10^{13}e \)), making charge steps indiscernible and rendering charge effectively continuous. Thus both statements are correct.

Related questions

Three identical metal spheres \( A \), \( B \), and \( C \) are mounted on insulating stands. Sphere \( A \) initially carries a net electric charge of \( +Q \), while spheres \( B \) and \( C \) are uncharged. Sphere \( A \) is first brought into contact with sphere \( B \) and then separated. Next, sphere \( B \) is brought into contact with sphere \( C \) and separated. Finally, sphere \( C \) is brought into contact with sphere \( A \) and separated. The final electric charge remaining on sphere \( C \) is:→A spherical metal body \( A \), initially neutral, gains protons from an ion beam at a steady rate of \( n_1 = 5 \times 10^{11} \text{ protons/second} \) while losing electrons at a steady rate of \( n_2 = 3 \times 10^{11} \text{ electrons/second} \). The time required for body \( A \) to accumulate a net positive charge of \( 1.28\,\mu\text{C} \) is:→In an isolated electrostatics setup, two initially neutral insulating bodies \( X \) and \( Y \) are rubbed together, resulting in the transfer of \( 3.125 \times 10^{13} \) electrons from \( X \) to \( Y \). Simultaneously, inside the same isolated system, a neutral particle decays into a proton, an electron, and a neutrino. The net final charge on body \( Y \) and the total net charge of the entire isolated system are, respectively:→A sample contains \( 34\text{ g} \) of pure ammonia (\( \text{NH}_3 \)) gas. Taking Avogadro's number \( N_A = 6.02 \times 10^{23}\text{ mol}^{-1} \) and elementary charge \( e = 1.60 \times 10^{-19}\text{ C} \), the magnitude of the total positive charge contained in all the atomic nuclei of this sample is approximately:→
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