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Occupational safety experts have developed an alternative criterion for electrical safety. they have found that shocks lasting less than 3s will be nonlethal if the product of the voltage drop across the body, the current through the body, and the time (≤ 3.0 s) that the current flows does not exceed 13.5 V⋅A⋅s= 13.5 j. suppose that one hand of a potential victim is grounded and the other hand touches a voltage source; suppose further that his skin resistance is negligible--a worst-case scenario. using the criterion above, what is the largest voltage that will not be lethal for a shock that lasts 1.8 s ?

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Final answer:

To calculate the largest voltage that will not be lethal for a shock lasting 1.8 s, we can use the alternative criterion developed by occupational safety experts. By substituting the values into the equation, we can solve for the maximum voltage.

Step-by-step explanation:

The largest voltage that will not be lethal for a shock that lasts 1.8 seconds can be calculated using the alternative criterion developed by occupational safety experts. According to the criterion, the product of the voltage drop across the body, the current through the body, and the time that the current flows should not exceed 13.5 V⋅A⋅s. We can use this criterion to solve for the maximum voltage:
Voltage × Current × Time ≤ 13.5 J

Voltage × I × 1.8 s ≤ 13.5 J

Now, we can rearrange the equation to solve for the voltage:

Voltage ≤ 13.5 J / (I × 1.8 s)

Since the duration of the shock is given as 1.8 s, we can substitute this value into the equation:

Voltage ≤ 13.5 J / (I × 1.8 s)

Finally, substitute the value for the current which is not given in the question to determine the largest voltage:

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