There is one subtle difference between these two, which can be seen in the IL code - putting an explicit static constructor tells the C# compiler not to mark the type as beforefieldinit. The beforefieldinit affects when the type initializer is run and knowing about this is useful when writing lazy singletons in C#, for example.
In brief the difference is this:
.class private auto ansi beforefieldinit A
.class private auto ansi B
In all other aspects they are the same. Output from Reflector:
Class A:
.class private auto ansi beforefieldinit A
extends [mscorlib]System.Object
{
.method private hidebysig specialname rtspecialname static void .cctor() cil managed
{
.maxstack 8
L_0000: ldsfld class [mscorlib]System.Collections.Generic.Dictionary`2<string, class Connection> WebConfigurationManager::ConnectionStrings
L_0005: ldstr "SomeConnection"
L_000a: callvirt instance !1 [mscorlib]System.Collections.Generic.Dictionary`2<string, class Connection>::get_Item(!0)
L_000f: ldfld string Connection::ConnectionString
L_0014: stsfld string A::connectionString
L_0019: ret
}
.method public hidebysig specialname rtspecialname instance void .ctor() cil managed
{
.maxstack 8
L_0000: ldarg.0
L_0001: call instance void [mscorlib]System.Object::.ctor()
L_0006: ret
}
.field private static initonly string connectionString
}
Class B:
.class private auto ansi B
extends [mscorlib]System.Object
{
.method private hidebysig specialname rtspecialname static void .cctor() cil managed
{
.maxstack 8
L_0000: nop
L_0001: ldsfld class [mscorlib]System.Collections.Generic.Dictionary`2<string, class Connection> WebConfigurationManager::ConnectionStrings
L_0006: ldstr "SomeConnection"
L_000b: callvirt instance !1 [mscorlib]System.Collections.Generic.Dictionary`2<string, class Connection>::get_Item(!0)
L_0010: ldfld string Connection::ConnectionString
L_0015: stsfld string B::connectionString
L_001a: ret
}
.method public hidebysig specialname rtspecialname instance void .ctor() cil managed
{
.maxstack 8
L_0000: ldarg.0
L_0001: call instance void [mscorlib]System.Object::.ctor()
L_0006: ret
}
.field private static initonly string connectionString
}