Final answer:
The time constant of the RC circuit is found by multiplying the corrected resistance value, 2.2·¹³ Ω, by the capacitance value, 5.0 pF, resulting in a time constant of 11 ns.
Step-by-step explanation:
The question is asking to find the time constant of an RC circuit.
The time constant (τ) is calculated using the equation τ = RC, where R is the resistance and C is the capacitance. Given that the resistance (R) is 2.2×10¶ n (ohms) and the capacitance (C) is 5.0 ApF (attopico farads, which is a typographical error and should be interpreted as pF or picofarads), the time constant is found by multiplying the two values:
τ = R × C = (2.2×10¶ Ω) × (5.0 pF)
However, before multiplying, it is necessary to ensure that the units are consistent. If we assume that 'n' means nano (n), we need to convert it to standard units: 2.2×10¶ nΩ = 2.2×10^3 Ω (ohms), as 1 nano = 10^-9, and 1 pico = 10^-12, so 5.0 pF is 5.0×10^-12 F (farads).
Using these converted units:
τ = (2.2×10¶3) × (5.0×10^-12) = 11×10^-9 seconds or 11 ns (nanoseconds).