Question

Let's consider the tunneling of an electron outside of a potential well. The formula for the transmission coefficient is T ≈ e^(-2CL). Here, L is the width of the barrier and C is a term that includes the particle energy and barrier height. If the tunneling coefficient is found to be T = 0.050 for a given value of L, for what new value of L' is the tunneling coefficient T' = 0.025? (All other parameters remain unchanged.) Express L' in terms of the original L.

Name: lets consider tunneling of an electron outside of a potential well the formula for the transmission coefficient is t simeq e 2clte2cl where l is the width of the barrier and c is a term that 17958
Uploaded: 2022-06-30T22:45:38-08:00
Duration: 2 min 2 s
Channel: Timothy James
Description: lets consider tunneling of an electron outside of a potential well the formula for the transmission coefficient is t simeq e 2clte2cl where l is the width of the barrier and c is a term that 17958

          Let's consider the tunneling of an electron outside of a potential well. The formula for the transmission coefficient is T ≈ e^(-2CL). Here, L is the width of the barrier and C is a term that includes the particle energy and barrier height. If the tunneling coefficient is found to be T = 0.050 for a given value of L, for what new value of L' is the tunneling coefficient T' = 0.025? (All other parameters remain unchanged.) Express L' in terms of the original L.

Added by Sandra W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

06/30/2022

Step 1

050 and T' = 0.025. We are also told that T â‰ˆ e^(-2CL)T' â‰ˆ e^(-2CL'). To find the new value of L', we need to solve for L' in terms of L. First, let's rearrange the equation to solve for T': T' = T / e^(-2CL) Now, substitute the given values: 0.025 = Show more…

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Let's consider the tunneling of an electron outside of a potential well. The formula for the transmission coefficient is T ≈ e^(-2CL). Here, L is the width of the barrier and C is a term that includes the particle energy and barrier height. If the tunneling coefficient is found to be T = 0.050 for a given value of L, for what new value of L' is the tunneling coefficient T' = 0.025? (All other parameters remain unchanged.) Express L' in terms of the original L.