This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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Here are the solutions to the questions you've provided: 1. For a parallel plate capacitor, if the charge stored on a capacitor plate is large, the capacitance will be ________. Step 1: The capacitance C of a capacitor is defined as the ratio of the charge Q stored on its plates to the potential difference V across them: C = (Q)/(V) Step 2: For a given capacitor, its capacitance C is a constant value determined by its physical dimensions (plate area, distance between plates) and the dielectric material. It does not depend on the charge stored or the potential difference across it. If the charge stored (Q) increases, the potential difference (V) across the plates also increases proportionally, keeping the ratio C constant. However, if the question implies a design choice, a capacitor designed to store a large charge (at a typical operating voltage) would inherently have a large capacitance. Given the multiple-choice options, this interpretation is most likely intended. The correct option is A. large 2. A capacitor connected to a 24 V battery has a charge of 4 x 10⁻³ C. Its capacitance is ________. Step 1: The capacitance C of a capacitor is given by the formula: C = (Q)/(V) where Q is the charge stored and V is the potential difference. Step 2: Substitute the given values: Q = 4 × 10^-3 \, C and V = 24 \, V. C = 4 × 10^-3 \, C24 \, V C = (1)/(6) × 10^-3 \, F C ≈ 0.1666... × 10^-3 \, F Step 3: Convert the capacitance to microfarads (), where 1 \, = 10^-6 \, F. C = 0.1666... × 10^-3 \, F = 166.6... × 10^-6 \, F C ≈ 167 \, The correct option is C. 167 \, 3. A pico farad is ________ of a farad. Step 1: The prefix "pico" (p) represents 10^-12. Step 2: Therefore, a pico farad (pF) is 10^-12 of a farad. The correct option is B. 10^-12 That's 2 down. 3 left today — send the next one.