please provide any calculations, observations, use of physics concepts or definitions to support how the student is right or wrong. thanks. I also provided equations in use they help.

\f(5) A student makes the following statement about electric fields and potential: "If the electric field is zero everywhere inside a region of space, the potential must also be zero in that region." What, if anything, is wrong with this statement? If something is wrong, explain what is wrong and how to correct it. If the statement is correct, explain why it is correct. (Hint: you might have to provide your own evidence to support your answer.)F = 1 qq ATTEO r2 As = VigAt + as ( At ) 2 2 F = qE Ufs - Vis = asAt 1 9 2 - Vis = 2asAs ATTEr2 ar r Fnet = ma P = mi p = (qs, from negative to positive) 1 =PXE AP = FAt 1 2p 4187 73 (on axis) E ~ - 1 1 4near3 (bisecting plane) Constants & Other Useful Info 1 K = 1 - = 9x109 Nm2/C2 Common metric prefixes: e = 1.6x10-19 C giga- G 109 mega- M 106 Eo = 8.85 x 10-12 C2 / Nm kilo- mproton = mneutron = 1.67 x 10-27 kg k 103 centi- C 10-2 melectron = 9.11 x 10-31 kg milli- m 10-3 micro- 10-6 nano- n 10-9 pico- p 10-12 femto- -h 10-15