匹配以/开头的字符串时，删除整行

Question

在尝试匹配以斜杠开头的输入字符串时，我试图删除文件的整行

file.txt
include “/prod/xv10z.srv”;
include "/prod/zv10z.srv";
include "/prod/v10z.srv";

test.sh
#!/bin/bash
var="/v10z.srv"

sed -i ""  ':$var:d' file.txt

运行sh test.sh，没有任何反应。 如何删除包含“ /prod/v10z.srv”的文件；来自file.txt

file.txt
include “/prod/xv10z.srv”;
include "/prod/zv10z.srv";